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angelicafrancisco1995
updated 8 months ago

# Twelve students are to be assigned to three committees: one of six members and two of three members each. How many distinct ways can this be done?

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ewisoky
updated 8 months ago

Oh, combinatorics tasks are gorgeous for mind.

To calculate this amount yoou have to follow several steps.

First of all you have to find out the amount of possible combinations in choice of first 6 people. It would be the number 12C6.

Next goes the choice of three people into the group, which is 6C3.

Final calculation would be like

12C6*6C3/3.

You need to divide the number by three, for there should be three groups of students once you finish.

Hope it helps!

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