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mustish1

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Permutation and Combination

Can any one please explain this question ? Thanks.

A committee of three is chosen from a group of 20 people. How many different committees are possible, if

a. the committee consists of a president, vice president, and treasurer ?
b. there is no distinction among the three members of the committee ?

Answer: P(20,3)=6,840 (b) 2.6.5=60
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mustish1

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I think the formula on part a is P(n,r)=n!/(n-r)!
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ozo
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According to my formula the answer is still wrong
P(n,r)=n!/(n-r)!
P(20,3) = 20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*4*3*2*1/(20-3)!

so its a 20*19*18=6,840

Can you please show it the part 2 I still dont get it.
Sorry i made a mistake in my text

According to the first formula
P(n,r)=n!/(n-r)!
P(20,3) = 20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*4*3*2*1/(20-3)!

so its a 20*19*18=6,840

Can you please show it the part 2 I still dont get it.
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