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Numerade Educator

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Problem 2 Easy Difficulty

Tell whether each situation is a permutation or combination.
How many programs of 4 musical pieces can be made from 8 possible pieces?

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Top Algebra Educators
GH
Grace H.

Numerade Educator

Catherine R.

Missouri State University

Heather Z.

Oregon State University

Kristen K.

University of Michigan - Ann Arbor

Video Transcript

Okay, So since I'm creating a program, the order is gonna matter. Because if I put it a different order, it looks like a different program. And so I'm gonna call this a permutation. And what I have is I have eight pieces that I want to choose, or so I've got a permutation of eight to sport. And so that means that I'm gonna have eight choices for my first piece. Seven from a second six and then five. And so when you multiply all of those numbers together eight times, seven times, six times five, you have 1680 different programs that you could make.

University of Louisville
Top Algebra Educators
GH
Grace H.

Numerade Educator

Catherine R.

Missouri State University

Heather Z.

Oregon State University

Kristen K.

University of Michigan - Ann Arbor