A hat contains the names of players in a tennis squad

MATHEMATICS · Multi-part · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations

Problem

A hat contains the names of 77 players in a tennis squad, including the captain and the vice-captain. If a team of three is chosen at random by drawing names from the hat, determine the probability that it does not contain: (1) the captain. (2) the captain or the vice-captain.

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