Question

Jeanine Baker makes floral arrangements. She has 13 different cut flowers and plans to use 7 of them. How many different selections of the 7 flowers are​ possible?

Answer 1

1716

Explanation:

13C7 => 13!/7!6!

or, the seven can be selected in 13 x 12 x 11 x 10 x 9 x 8 x 7 ways => 8648640

But, the seven can be arranged in 7 x 6 x 5 x 4 x 3 x 2 x 1 ways => 5040

so, total => 8648640/5040 = 1716