NDA 2019 Maths · Mathematics · Permutations and Combinations · easy

Four cards are drawn from a pack of 52 cards. The number of ways in which all four cards are of the same suit is

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Four cards are drawn from a pack of

52

cards. The number of ways in which all four cards are of the same suit is

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Answer: (C) $2860$

Choose the suit in

4

ways and then choose

4

of its

13

cards in

\binom{13}{4}=715

ways. The total is

4\times715=2860

. The value

715

forgets to choose the suit, and

270725=\binom{52}{4}

counts all possible hands.

Original question written in the NDA 2019 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake