Four cards are to be drawn at random from a standard deck of 52 playing cards.
MATHEMATICS · Multi-part · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations
Problem
Four cards are to be drawn at random from a standard deck of 52 playing cards.
(i) Calculate the total number of possible 4-card selections.
(ii) Calculate the number of 4-card selections that contain no spade.
(iii) Hence, determine the number of 4-card selections that contain at least one spade.