Banking Quantitative Aptitude Permutations and Combinations Question Bank

done Permutation and Combination (II) Total Questions - 24

• question_answer1)
  How many even numbers of three digits can be formed with the digits 0, 1, 2, 3, 4, 5 and 6?
  A)
  30 done clear
  B)
  105 done clear
  C)
  75 done clear
  D)
  180 done clear
  E)
  150 done clear
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• question_answer2)
  A round table conference is to be held between delegates of 15 companies. In how many ways can they be seated if delegates from two MNCs may wish to sit together?
  A)
  14! done clear
  B)
  \[14!\times 2!\] done clear
  C)
  \[14!/2!\] done clear
  D)
  \[14!\times 2!-1\] done clear
  E)
  None of these done clear
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• question_answer3)
  A person has 12 friends out of which 7 are relatives. In how many ways can he invite 6 friends such that at least 4 of them are relatives?
  A)
  460 done clear
  B)
  426 done clear
  C)
  432 done clear
  D)
  464 done clear
  E)
  462 done clear
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• question_answer4)
  How many words can be made of letters COURTESY which began with C and end with Y?
  A)
  120 done clear
  B)
  540 done clear
  C)
  420 done clear
  D)
  720 done clear
  E)
  1040 done clear
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• question_answer5)
  Of 8 balls how many arrangement can be made in which 3 given balls are not all together?
  A)
  \[8!-6!\times 2!\] done clear
  B)
  \[6!-8!\times 2!\] done clear
  C)
  \[8!-6!\times 3!\] done clear
  D)
  \[6!-8!\times 3!\] done clear
  E)
  None of these done clear
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• question_answer6)
  From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there in the committee. In how many ways can it be done?
  A)
  564 done clear
  B)
  645 done clear
  C)
  735 done clear
  D)
  756 done clear
  E)
  None of these done clear
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• question_answer7)
  Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
  A)
  210 done clear
  B)
  1050 done clear
  C)
  25200 done clear
  D)
  21400 done clear
  E)
  None of these done clear
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• question_answer8)
  A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?                              
  A)
  32 done clear
  B)
  48 done clear
  C)
  64 done clear
  D)
  96 done clear
  E)
  None of these done clear
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• question_answer9)
  In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
  A)
  32 done clear
  B)
  48 done clear
  C)
  36 done clear
  D)
  60 done clear
  E)
  120 done clear
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• question_answer10)
  How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
  A)
  40 done clear
  B)
  400 done clear
  C)
  5040     done clear
  D)
  2520 done clear
  E)
  13 done clear
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• question_answer11)
  The Indian Cricket team consists of 16 players. It includes 2 wicket keepers and 5 bowlers. In how many ways can a cricket eleven be selected if we have to select 1 wicket keeper and at least 4 bowlers?
  A)
  1029 done clear
  B)
  1072 done clear
  C)
  1040 done clear
  D)
  1092 done clear
  E)
  None of these done clear
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• question_answer12)
  In a small village, there are 87 families, of which 52 families have at most 2 children. In a rural development program 20 families are to be chosen for assistance, of which at least 18 families must have at most 2 children. how many ways can the choice be made?                                                           
  A)
  \[^{52}{{C}_{19}}{{\times }^{35}}{{C}_{1}}{{+}^{50}}{{C}_{19}}{{\times }^{37}}{{C}_{1}}{{+}^{52}}{{C}_{20}}\] done clear
  B)
  \[^{52}{{C}_{18}}{{\times }^{35}}{{C}_{2}}{{+}^{52}}{{C}_{19}}{{\times }^{35}}{{C}_{1}}{{+}^{52}}{{C}_{20}}\] done clear
  C)
  \[^{52}{{C}_{19}}{{\times }^{35}}{{C}_{1}}{{+}^{52}}{{C}_{19}}{{\times }^{35}}{{C}_{1}}{{-}^{52}}{{C}_{20}}\] done clear
  D)
  \[^{52}{{C}_{18}}{{\times }^{35}}{{C}_{2}}{{-}^{52}}{{C}_{19}}{{\times }^{35}}{{C}_{1}}{{+}^{52}}{{C}_{20}}\] done clear
  E)
  None of these        done clear
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• question_answer13)
  cqd esa iz’u ugha gS  38 uEcj dk How many arrangements can be made out of the letters of the word COMMITTEE, taken all at a time, such that the four vowels do not come together?                                                           
  A)
  216 done clear
  B)
  720 done clear
  C)
  1260 done clear
  D)
  4320 done clear
  E)
  None of these done clear
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• question_answer14)
  In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?   
  A)
  \[4!\times 5!\] done clear
  B)
  \[5!\times 3!\] done clear
  C)
  \[4!\times 4!\] done clear
  D)
  \[5!\times 5!\] done clear
  E)
  None of these done clear
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• question_answer15)
  3 boys and 2 girls are to be seated in a row in such a way that two girls are always together. In how many different ways can they be seated? 
  A)
  12 done clear
  B)
  24 done clear
  C)
  72 done clear
  D)
  36 done clear
  E)
  48 done clear
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• question_answer16)
  If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM?                       
  A)
  24 done clear
  B)
  32 done clear
  C)
  60 done clear
  D)
  48 done clear
  E)
  120        done clear
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• question_answer17)
  How many arrangements of the letters of the word 'BENGALI' can be made if the vowels are to occupy only odd places.
  A)
  576 done clear
  B)
  567 done clear
  C)
  625 done clear
  D)
  720 done clear
  E)
  None of these done clear
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• question_answer18)
  In how many ways 3 mathematics books, 4 history books, 3 chemistry books and 2 biology books can be arranged on a shelf so that all books of the same subjects are together.  
  A)
  42472 done clear
  B)
  41472 done clear
  C)
  44725 done clear
  D)
  45722 done clear
  E)
  46427 done clear
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• question_answer19)
        There are four bus routes between A and B; and three bus routes between B and C. A man can travel round-trip in number of ways by bus from A to C via B. If he does not want to use a bus route more than once, in how many ways can he make round trip?  
  A)
  72 done clear
  B)
  44 done clear
  C)
  32 done clear
  D)
  19 done clear
  E)
  24 done clear
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• question_answer20)
  What is the total number of ways in which Dishu can distribute 99 distinct gifts among his 88 distinct girlfriend such that each of them gets at least one gift?                                                             
  A)
  \[172\times 8!\] done clear
  B)
  \[144\times 8!\] done clear
  C)
  \[36\times 8!\] done clear
  D)
  \[72\times 8!\] done clear
  E)
  None of these done clear
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• question_answer21)
  From a total of six men and four ladies a committee of three is to be formed. If Mrs. X is not willing to join the committee in which Mr. Y is a member, whereas Mr. Y is willing to join the committee only if Mrs Z is included. How many such committee are possible?                                                          
  A)
  138 done clear
  B)
  128 done clear
  C)
  112 done clear
  D)
  91 done clear
  E)
  None of these done clear
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• question_answer22)
  The number of ways which a mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same is:
  A)
  1514 done clear
  B)
  1512 done clear
  C)
  3024 done clear
  D)
  3028 done clear
  E)
  None of these done clear
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• question_answer23)
  A basket contains 6 blue, 2 red, 4 green and 3 yellow balls. If 5 balls are picked at random find the number of ways for selecting the balls such that at least one is blue?    
  A)
  2877 done clear
  B)
  2651 done clear
  C)
  2400 done clear
  D)
  2600 done clear
  E)
  None of these done clear
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• question_answer24)
  There are eight boxes of chocolates, each box containing distinct number of chocolates from 1 to 8. In how many ways four of these boxes can be given to four persons (one boxes to each) such that the first person gets more chocolates than each of the three, the second person gets more chocolates than the third as well as the fourth person and the third person gets more chocolates than fourth person?
  A)
  70 done clear
  B)
  72 done clear
  C)
  40 done clear
  D)
  80 done clear
  E)
  None of these done clear
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