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

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) (Show Source): You can put this solution on YOUR website!
4 rap videos can be selected in 10C4 = ways
3 R&B videos can be selected in 5C3 = ways
Selected videos can be arranged in 7! ways
Therefore, number of arrangements =
RELATED QUESTIONS
Mr. Andreas has a video rental business. The table shows how much he charges to rent... (answered by jojo14344)

Is it B? I want to check my answer. A student is listening to songs that are on his... (answered by MathLover1)

Andrew buys books and videos in a store. He uses the expression 6b+12v to find the cost... (answered by stanbon)

A music teacher has surveyed 500 students. The results of the survey are as follows: 221... (answered by greenestamps,ikleyn)

Two video rental clubs offer two different rental fee plans: Club A charges $12 for... (answered by rfer)

[ Company A rents video for $4.50 each and has no membership fee. Company B rents videos... (answered by TimothyLamb)

Suppose a video store charges non-members $4 to rent a video. A membership costs $21 and... (answered by jojo14344)

Susan joined a video rental club. She paid an initiation fee of $12.75 and it cost $0.75... (answered by Zucchini,macston)

In a music poll of 25 students. 15 liked rock, 9 liked jazz, and 12 liked rap. 4 students (answered by stanbon)