SOLUTION: 15 Tickets for a concert are given out randomly to a class with 20 students. No student is given more than 1 ticket. i. find the number of ways in which this can be done. There a

Algebra ->  Permutations -> SOLUTION: 15 Tickets for a concert are given out randomly to a class with 20 students. No student is given more than 1 ticket. i. find the number of ways in which this can be done. There a      Log On


   

Question 889733: 15 Tickets for a concert are given out randomly to a class with 20 students. No student is given more than 1 ticket.
i. find the number of ways in which this can be done.
There are 12 boys and 5 girls in the class. find the number of ways in which
i. 10 boys and 5 girls get the tickets.
ii. all the boys get the tickets.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
15 Tickets for a concert are given out randomly to a class with 20 students. No student is given more than 1 ticket.
i. find the number of ways in which this can be done.
Ans: 20C15 = 20C5 = (20*19*18*17*16)/(1*2*3*4*5) = 15504
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There are 12 boys and 5 girls in the class. find the number of ways in which
i. 10 boys and 5 girls get the tickets.
Ans: 12C10*5C5 = 12C2*5C5 = 66*1 = 66 ways
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ii. all the boys get the tickets.
Ans: 20C10 = 184756
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Cheers,
Stan H.
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