SOLUTION: a jazz band has prepared 18 selections for a concert tour. At each stop they will perform 10. Hoa many different programs are possible? How many programs are possible if they alway

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Question 460098: a jazz band has prepared 18 selections for a concert tour. At each stop they will perform 10. Hoa many different programs are possible? How many programs are possible if they always begin with the same song and end with the same song?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a jazz band has prepared 18 selections for a concert tour. At each stop they will perform 10. How many different programs are possible?
Ans: 18C10 = 43,758
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How many programs are possible if they always begin with the same song and end with the same song?
# of ways to pick the 1st song 18.
# of ways to pick the last song 1 (if end song is the same as the begin song).
# of ways to pick the middle 8 songs :: 16C8
Ans: 18*1*17C8 = 43758
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You say the answer to part 2 is 12870
That is the answer if the number of ways to choose the 1st
song is 1 and the number of ways to choose the last
song is 1. Then the remaining songs can be selected in
16C8 = 12870 ways.
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Comment: The problem statement is very ambiguous. It allows
for several interpretations of what the author means. Not
a well-defined problem. Boo!!
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Cheers,
Stan H.