SOLUTION: I am learning combinations and permutations but this question confused me. if you could explain to me how you got the answer that wouls be great! here is the question: A television

Question 749220: I am learning combinations and permutations but this question confused me. if you could explain to me how you got the answer that wouls be great! here is the question: A television director is scheduling a certain sponsor's commercials for an upcoming broadcast. There are 6 slots available for commercials. In how many ways may the director schedule the commercials if the sponsor has 6 different commercials, each to be shown twice? Thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A television director is scheduling a certain sponsor's commercials for an upcoming broadcast.
There are 6 slots available for commercials.
1,2,3,4,5,6
In how many ways may the director schedule the commercials if the sponsor has 6 different commercials, each to be shown twice?
# of ways to fill #1 slot: 6
# of ways to fill #2 slot: 6
# of ways to fill #3 slot: 5
# of ways to fill #4 slot: 5
# of ways to fill #5 slot: 4
# of ways to fill #6 slot: 4
-----
Total number of ways fill the 6 slots (6*5*4)^2 = 14,400 ways
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Cheers,
Stan H.

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