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Question

# You have to divide a pack of 52 cards equally among 4 players. In how many ways the cards can be divided in 4 sets, 3 of them having 17 cards each & the 4th with 1 card

A
52!4!3!(17!)3
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B
52!(3!)3(17!)
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C
52!(3!)(17!)
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D
52!(17!)3
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Solution

## The correct option is A 52!4!3!(17!)3First select 17 cards out of 52 cards in 52C17. Then select 17 from the remaining 35 cards in 35C17. Then select 17 again from the remaining 18 in 18C17 ways. Total no. of ways = 52C17×35C17×18C17×1×4C3= 52!4!3!(17!)3

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