SOLUTION: Fifteen students are going on their spring break. They plan to travel in three vehicles-One seating seven, one seating five, and one seating three students. In how many ways can t
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Question 1110975: Fifteen students are going on their spring break. They plan to travel in three vehicles-One seating seven, one seating five, and one seating three students. In how many ways can the students group themselves for their trip?
I attempted 15!/7!5!3! =360,360
1. You can choose seven of 15 by ways to the first, 7-seating wheel.
= .
2. You can choose five of remaining 15-7 = 8 by ways to the second, 5-seating wheel.
= .
3. And that is all. The remaining 15-7-5 = 3 persons are just uniquely defined, and you have nothing more to select.
4. So, your final answer is the product of these two numbers:
.
5. I leave it to you to complete these calculation.
