Join our free STEM summer bootcamps taught by experts. Space is limited.Register Here 🏕

Like

Report

Numerade Educator

Like

Report

Problem 11 Easy Difficulty

Tell whether each situation is a permutation or combination.
There are 12 paintings in a show. How many ways can the paintings take first, second, and third place?

Answer

$\mathrm{P} ; 1320$ ways

Discussion

You must be signed in to discuss.
Top Algebra Educators
Catherine R.

Missouri State University

Heather Z.

Oregon State University

MG
Maria G.

Numerade Educator

Michael J.

Idaho State University

Video Transcript

Since we're looking at the placement of the winning paintings in this show, this is gonna create a permutation because the border is important, since there are 12 paintings and we want to do 1st 2nd 3rd that means we're choosing three of them. So 12 times, 11 times 10 is gonna be 1320 ways that we could have a different 1st 2nd and third place finish.

University of Louisville
Top Algebra Educators
Catherine R.

Missouri State University

Heather Z.

Oregon State University

MG
Maria G.

Numerade Educator

Michael J.

Idaho State University