Arithmetic Ability
Permutations and Combinations

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Q.

From a deck of 52 cards, a 5 card hand is dealt.How many distinct hands can be formed if there are atleast 2 queens?

View Answer

Correct choice: C

Explanation:

The total possible cases would be a 5 card hand with no restrictions :52C55 The unwanted cases are: no queens(out of 48 non-queens cards we get 5) 48C5 only 1 queen(out of 4 queens we get 1,and out of 48 non-queens we get 4) 4C1*48C4 Therefore,52C5−(48C5+4C1*48C4) = 108336
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