Question

In a standard deck of cards, how many different 3-cards hands are there?

15 In a standard deck of cards, how many different SELECT ALL APPLICABLE CHOICES ards hands are there A) 132591 B) 133804 C) 22100 D) 132600 E) none of these

Answer 1

In a standard deck of cards, to find different 3-cards hands we use the combination formula, (In a deck of cards there are 52 cards i.e. n-52 and r-3) n! C (n, r)- 52! c (52,3) (2-3)13 52! 49! 3! 52* 51 50 49! 49! 3-2*1 52 51 50 3 2 1 132600 6 C (52, 3) -22100 Therefore, in a standard deck of cards, there are 22100 different 3-cards hands.