SOLUTION: A. In how many ways can 15 books be arranged on a shelf? B. In how many ways can different committees of 8 people be formed from a pool of 10 people?

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Question 173101: A. In how many ways can 15 books be arranged on a shelf?
B. In how many ways can different committees of 8 people be formed from a pool of 10 people?

Found 2 solutions by stanbon, checkley77:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A. In how many ways can 15 books be arranged on a shelf?
The answer is 15! or 15*14*13*12*.....*3*2*1 = 1,307,674,368,000
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B. In how many ways can different committees of 8 people be formed from a pool of 10 people?
This is a "grouping" or combination problem:
Ans : 10C8 = 10C2 = [10*9]/[1*2] = 45
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Cheers,
Stan H.

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
A. 15!=1,307,674,368,000 different book arrangements can be had.
B. 10*9*8*7*6*5*4*3=1,8124,400 different committees can be formed.