A tennis club has $n$ male players and $n$ female players. For a tournament the players are

Question

A tennis club has $n$ male players and $n$ female players. For a tournament the players are to be arranged in $n$ pairs, with each pairing consisting of one male and one female. Find the number of possible pairings. In the state of Utopia, the alphabet contains $25$ letters. A car registration number consists of two different letters of the alphabet followed by an integer $n$ such that $100\le n\le 999$. Find the number of possible car registration numbers.

Accepted Answer

(a) $n!$ (b) $540,000$

N1993 P1 Q10

N1993 P1 Q10

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