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Numerade Educator

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Problem 4 Easy Difficulty

Tell whether each situation is a permutation or combination.
How many ways can 6 different flowers be chosen from 12 different flowers?

Answer

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Top Algebra Educators
Catherine R.

Missouri State University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University

Video Transcript

So I have some flowers, and I'm choosing six different ones. Doesn't matter the order I choose them in. So this is definitely a combination. Um, where? I have 12 flowers and I'm choosing six. So that means that I have 12 times, 11 times, 10 times nine times a time, seven or picking those, But because my orders not important, I need to think about dividing by the ways of those six could be arranged. And so that sets second number on the bottom there. And so what does that give me when we multiply? 12 times? 11 times. 10 times non times, eight times seven. We get 665,280. We're gonna divide that, uh, 100 about 720. So when we do that, 6665 280 divided by 7 20 tells me that there are 924 different groups that I could get from those flowers

University of Louisville
Top Algebra Educators
Catherine R.

Missouri State University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Michael J.

Idaho State University