Question

From a bank of 13 movies, 7 movies to be played in a specific order are chosen for a movie marathon. In how many different ways can the movies for the movie marathon be chosen?

Answer 1

Answer:

1716

Explanation:

Given a bank of 13 movies, and we're told that 7 movies to be played in a specific order are chosen for a movie marathon, we'll use the below combination formula to determine how many different ways can the movies for the movie marathon be chosen;

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

where n = 13 and r = 7

Let's go ahead and substitute the above values into the formula and evaluate;

$\text{nCr}=\frac{13!}{7!(13-7)!}=\frac{13!}{7!6!}=\frac{6227020800}{3628800}=1716$