How many ordered sequences are possible that contain six objects chosen from seven?

Kristina Mcclain

Answered question

2022-01-22

How many ordered sequences are possible that contain six objects chosen from seven?

Answer & Explanation

bekiffen32

Beginner2022-01-23Added 8 answers

We can use permutation in order to solve the given problem.
A permutation of n item taken $\gamma$ at a time is an ordered list of $\gamma$ item chosen from n.
$P(n,r)=\frac{n!}{(n-r)!}$
Now, choosing 6 objects from 7.
$P(7,6)=\frac{7!}{(7-6)!}=7\ne 5040$