Mrs. Welch and her 6 children are shopping at a local grocery store. Each of the children will be allowed to select one box of cereal for their own from the 8 different boxes of cereal available (there are no two the same). In how many ways can the selections be made?

If you are only asking the selections combinations, it would be 8x7/2=28.

If the selections are to be matched with the child, it would be 8x7x6x5x4x3=20160

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JeanaShupp JeanaShupp · Answer 2 · 2019-04-19T17:38:04-04:00

Answer: 20160

Step-by-step explanation:

Given: The number of different boxes of cereal available = 8

The number of children are shopping at a local grocery store =6

Since, each of the children will be allowed to select one box of cereal for their own from the 8 different boxes of cereal available and there are no two the same.

Then by using permutation, the number of ways the selections can be made is given by :-

\(^8P_6=\frac{8!}{(8-6)!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!}=20160\)

Hence, the number of ways the selections can be made = 20160

Mrs. Welch and her 6 children are shopping at a local grocery store. Each of the children will be allowed to select one box of cereal for their own from the 8 different boxes of cereal available​ (there are no two the​ same). In how many ways can the selections be​ made?

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Mrs. Welch and her 6 children are shopping at a local grocery store. Each of the children will be allowed to select one box of cereal for their own from the 8 different boxes of cereal available (there are no two the same). In how many ways can the selections be made?