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Laci's wardrobe has 11 shirts of different colors. In how many ways can he divide these shirts into three piles so that the first pile has 2  shirts, the second pile has  3 shirts, and the third pile has 6 shirts?


 I think she has 11 choose 2 ways to divide into first pile. 9 choose 3 ways to divide into seconnd pile and 6 choose 6 ways to divide into third pile.

would the answer be 11 choose 2 * 9 choose 3? 
Thanks

 

 Aug 19, 2022
 #1
avatar+124596 
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Job 1   -   Select any 2 of 11 shirts for pile 1  = C(11,2)  =  55 ways

Job 2  -    Select  any 3 of the 9 remaining shirts for pile 2 = C(9,3)  = 84 

The shirts in pile 3  are  by default

 

So

 

55 *  84   =   4620  ways

 

cool cool cool

 Aug 19, 2022

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