Exam Maths Puzzle Numerical Ability Permutation and Combination

in how many ways a team of 11 must be selected from 5 men and 11 women such that the team must comprise of not more than 3 men

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Exam Other Question

Mrs. Kapoor goes to the market and after hassling with the fruit vendor is able to get
the price of a dozen bananas reduced by Rs.1, from the initial price. Thus she gets 1
banana extra for every rupee saved. The initial and final prices of a dozen bananas are (in
Rs.):

- 9, 8
- 12, 11
- 14, 13
- 24, 23
What is the remainder when (6^17+17^6) is divided by 7??