Problem #WSP-000052

Problems Combinatorics

Problem

Rithika is choosing songs for the party tonight. She has \(214\) songs in her library and wants to use \(50\) for the party. She wants to play each song only once. In how many ways can she compose her playlist? What if the songs have to play in order from the longest chosen to the shortest and each song in her library has a different duration, in how many ways can she choose her playlist then? (You can leave the answer as a formula).