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Naya [18.7K]
3 years ago
13

g a club of 12 people would like to choose a person for each office of president, a vice president, and a secretary. How many di

fferent ways are there to select the officers so that only one person holds each office
Mathematics
1 answer:
-Dominant- [34]3 years ago
5 0

Answer:

220 possible ways

Step-by-step explanation:

Given

n = 12 --- people

r = 3 -- posts (President, Vice\ President\ and\ Secretary)

Required

Determine the number of selection

Since there is no condition attached, the number of selection is:

Selection = ^nC_r

Substitute values for n and r

Selection = ^{12}C_3

Apply combination formula

Selection = \frac{12!}{(12-3)!3!}

Selection = \frac{12!}{9!3!}

Selection = \frac{12*11*10*9!}{9!*3*2*1}

Selection = \frac{12*11*10}{6}

Selection = \frac{1320}{6}

Selection = 220

<em>Hence, there are 220 possible ways</em>

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