Rithika is choosing songs for a 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?
Now suppose that each song has a different duration, and Rithika wants
the songs to play in order from the longest chosen to the shortest
chosen. How many ways can she choose her playlist now? (You can leave
the answer as a formula).