mustish1
asked on
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
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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ASKER
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.
P(n,r)=n!/(n-r)!
P(20,3) = 20*19*18*17*16*15*14*13*12
so its a 20*19*18=6,840
Can you please show it the part 2 I still dont get it.
ASKER
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.
According to the first formula
P(n,r)=n!/(n-r)!
P(20,3) = 20*19*18*17*16*15*14*13*12
so its a 20*19*18=6,840
Can you please show it the part 2 I still dont get it.
SOLUTION
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ASKER