Banking Quantitative Aptitude Permutations and Combinations Question Bank

done Permutation and Combination (I) Total Questions - 25

• question_answer1)
  Find the number of different words that can be formed from the word 'SUCCESS'.
  A)
  360 done clear
  B)
  480 done clear
  C)
  420 done clear
  D)
  5040 done clear
  E)
  None of these done clear
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• question_answer2)
  In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
  A)
  360 done clear
  B)
  480 done clear
  C)
  720 done clear
  D)
  5040 done clear
  E)
  None of these done clear
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• question_answer3)
  In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
  A)
  810 done clear
  B)
  1440 done clear
  C)
  2880     done clear
  D)
  50400 done clear
  E)
  5760 done clear
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• question_answer4)
  In how many different ways can the alphabets of word "EQUATION" can be arranged taking 5 letters at a time with the condition that the letters can be repeated?
  A)
  32768 done clear
  B)
  34569 done clear
  C)
  37268 done clear
  D)
  21724 done clear
  E)
  None of these done clear
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• question_answer5)
  In how many ways the alphabets of the word "CREATION" can be arranged so that all the consonants are alternate?
  A)
  1052 done clear
  B)
  952 done clear
  C)
  1152 done clear
  D)
  852 done clear
  E)
  None of these done clear
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• question_answer6)
  In how many ways the letters of the word "WOMEN" can be rearranged so that when constant occupies odd places, vowel comes on even places?
  A)
  10 done clear
  B)
  11 done clear
  C)
  12 done clear
  D)
  13 done clear
  E)
  14 done clear
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• question_answer7)
  In how many ways can 5 men, 3 women and 2 girls can be seated in a row so that me people of same gender are not seated together?
  A)
   3718640 done clear
  B)
   3729123         done clear
  C)
   3628800 done clear
  D)
   3620160 done clear
  E)
   None of these done clear
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• question_answer8)
  In how many ways can 7 boys and 5 girls be seated in a row so that no two of the girls can be together?
  A)
  9676800 done clear
  B)
  9266420 done clear
  C)
  9352980 done clear
  D)
  3456780 done clear
  E)
  None of these done clear
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• question_answer9)
  A round table meeting is held between eight persons A, B, C, D, E, F G and H. In how many ways can they seated so that A and D always sits diagonally opposite to each other?
  A)
  1220 done clear
  B)
  1330 done clear
  C)
  1110 done clear
  D)
  1440 done clear
  E)
  None of these done clear
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• question_answer10)
  How many ways can 4 apples be given in such a way to 3 girls if one girl can receive 1 apple.
  A)
  64 done clear
  B)
  360 done clear
  C)
  6 done clear
  D)
  24 done clear
  E)
  None of these done clear
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• question_answer11)
  A group photograph of a family having 6 females and 20 males is to be taken the first row consist of women and the second row consist of boys with 2 tallest boys standing at the extreme comers of the second row. Find the number of arrangement
  A)
  \[2\times 18!\times 6!\] done clear
  B)
  \[18!\times 6!\] done clear
  C)
  \[3\times 6!\times 18!\] done clear
  D)
  \[9!\times 14!\] done clear
  E)
  None of these done clear
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• question_answer12)
  Find the total number of employee code that can be formed by using two alphabets followed by 2 numbers and the letters should be distinct.         
  A)
  61000 done clear
  B)
  54000 done clear
  C)
  42000 done clear
  D)
  63000 done clear
  E)
  None of these done clear
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• question_answer13)
  12 points lie on a circle. How many cyclic quadrilaterals can be drawn by using these points?
  A)
  595 done clear
  B)
  495 done clear
  C)
  394 done clear
  D)
  295 done clear
  E)
  410 done clear
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• question_answer14)
  Two boxes A and B contain 5 balls each. We have to choose 6 balls in all of which at least 2 should be from Box A and at least 2 from Box B. In how many ways the selection can be made?
  A)
  150 done clear
  B)
  180 done clear
  C)
  165 done clear
  D)
  200 done clear
  E)
  None of these done clear
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• question_answer15)
  There are 5 boys and 4 girls, In how many ways 4 boys and 2 girls can be seated on 6 chairs?
  A)
  6400 done clear
  B)
  12500 done clear
  C)
  21600 done clear
  D)
  34300 done clear
  E)
  None of these done clear
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• question_answer16)
  There are 5 professor, 8 lecturer and 7 teacher. 6 people to be selected to make an interview board. In how many ways can they selected if it contain equal number of professors, lecturers and teachers?
  A)
  5880 done clear
  B)
  4770 done clear
  C)
  3450 done clear
  D)
  2180 done clear
  E)
  None of these done clear
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• question_answer17)
  A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done when at most 2 women are included?
  A)
  124 done clear
  B)
  132 done clear
  C)
  186 done clear
  D)
  174 done clear
  E)
  None of these done clear
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• question_answer18)
  A football team of 11 players is to be selected out of 16 players. 16 players consists of 2 goal keepers and 5 defenders and rest forwards. In how many ways can it be selected so that it consist of 1 goal keeper and at least 4 defenders?
  A)
  992 done clear
  B)
  1100 done clear
  C)
  1092 done clear
  D)
  999 done clear
  E)
  None of these done clear
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• question_answer19)
  In a cricket tournament, there are 153 matches played. Every two team played one match with each other. The number of team participating in the tournament is-
  A)
  12 done clear
  B)
  11 done clear
  C)
  18 done clear
  D)
  14 done clear
  E)
  16 done clear
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• question_answer20)
  A college has 10 volleyball players and 6 captain. Make a team of 6 members including captain. How many different selections can be made?
  A)
  1134 done clear
  B)
  1100 done clear
  C)
  1300     done clear
  D)
  1000 done clear
  E)
  None of these done clear
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• question_answer21)
  The total number of committee of 7 people is to be, formed from 9 boys and 6 girls such that the boys are in the majority and it has at least 1 girl-
  A)
  4914 done clear
  B)
  2072 done clear
  C)
  2076 done clear
  D)
  3426 done clear
  E)
  None of these done clear
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• question_answer22)
  How many number plates of 3 digit can be formed with four digits 1, 2, 3 and 4?
  A)
  27 done clear
  B)
  24 done clear
  C)
  8 done clear
  D)
  20 done clear
  E)
  16 done clear
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• question_answer23)
  How many numbers of five digits can be formed with the digits 1, 3, 5 7 and 9 no digit being repeated?
  A)
  120 done clear
  B)
  240 done clear
  C)
  720 done clear
  D)
  360 done clear
  E)
  5040 done clear
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• question_answer24)
  How many different 5 - digit numbers can be formed by using the digits of the number 7, 1, 3, 6, 2, 8, 4, 5, 9?
  A)
  15210 done clear
  B)
  15120 done clear
  C)
  15180 done clear
  D)
  45360 done clear
  E)
  30240 done clear
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• question_answer25)
  How many numbers of five digits can be formed with the digits 0,2,4,6 and 8?
  A)
  24 done clear
  B)
  48 done clear
  C)
  96 done clear
  D)
  120 done clear
  E)
  None of these done clear
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