Marble Pickeroo!

Probability Level 2

Peter has 10 10 distinct marbles. He chooses 5 5 marbles, then chooses 3 3 of the 5 5 marbles to give to Paul. How many combination of marbles can Paul receive?


The answer is 120.

Micah Gadbois by Micah Gadbois , 15, USA

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1 solution

Micah Gadbois
Jul 18, 2017

It doesn't matter what Peter picks. Work it out backwards: 10 C 3 10C3 = ( 10 ∗ 9 ∗ 8 ) / ( 3 ∗ 2 ∗ 1 ) (10*9*8)/(3*2*1) = 120

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