SOLUTION: Fifteen DVDs are to be arranged on a shelf. 4 of the DVDs are horror films, 6 are comedies, and 5 are science fiction. In how many ways can the DVDs be arranged if DVDs of the same

Question 1189649: Fifteen DVDs are to be arranged on a shelf. 4 of the DVDs are horror films, 6 are comedies, and 5 are science fiction. In how many ways can the DVDs be arranged if DVDs of the same genre must be placed together?

Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

3!=6 different orders for the three genres

4!=24 different orders for the 4 horror films

5!=120 different orders for the 5 science fiction films

6!=720 different orders for the 6 comedies

ANSWER: 6*24*120*720

You can do the final calculation

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