Try the fastest way to create flashcards
Question

A radio show plays the top 10 musical hits of the previous week. During the first full week of last January, these 10 hits were chosen from 70 possibilities, and they were played in order of increasing popularity. How many possible orders were there? Note: Since calculators cannot evaluate large factorials, use the approximation given by the formula n!2πn(ne)nn ! \approx \sqrt{2 \pi n}\left(\frac{n}{e}\right)^n.

Solutions

Verified
Answered 11 months ago
Step 1
1 of 7

We have a radio that plays the top 1010 musical hits. We have to determine how many possible orders were there. These hits were chosen from 7070 possibilities, and they were played in order of increasing popularity. We have to determine how many possible orders were there.

When we use combinations instead of permutations?

Create a free account to view solutions

Create a free account to view solutions

Recommended textbook solutions

enVision Algebra 2 1st Edition by Al Cuoco

enVision Algebra 2

1st EditionISBN: 9780328931590 (1 more)Al Cuoco
3,573 solutions
Precalculus: Mathematics for Calculus 7th Edition by James Stewart, Lothar Redlin, Saleem Watson

Precalculus: Mathematics for Calculus

7th EditionISBN: 9781305253810James Stewart, Lothar Redlin, Saleem Watson
Big Ideas Math Algebra 2: A Common Core Curriculum 1st Edition by Boswell, Larson

Big Ideas Math Algebra 2: A Common Core Curriculum

1st EditionISBN: 9781608408405Boswell, Larson
5,067 solutions

More related questions