Question

For a segment of a radio show, a disc jockey can play 10 records. there are 14 records to select from, in how many ways can the program for this segment be arranged?

Answer 1

The formula of combination is 

$nCr= \frac{n!}{(n-r)!r!}$

We have $n=14$ and $r=10$

$14C10= \frac{14!}{(14-10)!10!} = 1001$

Hence, there are 1001 ways of arranging 10 records from 14 records