JEE Main & Advanced
Mathematics
Permutations and Combinations
Question Bank
Definition of combinations, Conditional combinations, Division into groups, Derangements
question_answer
The number of ways in which we can select three numbers from 1 to 30 so as to exclude every selection of all even numbers is
A)4060
B)3605
C)455
D)None of these
Correct Answer:
B
Solution :
Required number of ways\[{{=}^{30}}{{C}_{3}}{{-}^{15}}{{C}_{3}}=3605\].