From a standard deck of 52 distinct playing cards (13 cards in each suit), 7 cards…
MATHEMATICS · Multi-part · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations
Problem
From a standard deck of 52 distinct playing cards (13 cards in each suit), 7 cards are to be dealt to a player.
(i) Find the number of possible 7-card hands that contain exactly 3 cards from one suit and exactly 2 cards from each of two other suits (so that no card is taken from the fourth suit).
(ii) Of the hands counted in part (i), determine how many contain no face cards (Jack, Queen or King).