SOLUTION: A director of a music video show wishes to play 4 rap videos and 3 R&B videos. He has 10 rap and 5 R&B videos to choose from. If we consider the order in which the videos are pla

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Question 1096479: A director of a music video show wishes to play 4 rap videos and 3 R&B videos. He has 10 rap and 5 R&B videos to choose from.
If we consider the order in which the videos are played, how many different line-ups can the show have?
Note that no video can be used more than once.

Answer by sandeepvijay(8) About Me  (Show Source):
You can put this solution on YOUR website!
4 rap videos can be selected in 10C4 = 10%21%2F%286%21%2A4%21%29 ways
3 R&B videos can be selected in 5C3 = 5%21%2F%282%21%2A3%21%29 ways
Selected videos can be arranged in 7! ways
Therefore, number of arrangements = 10%21%2F%286%21%2A4%21%29+%2A+5%21%2F%282%21%2A3%21%29+%2A+7%21+=+50400