Q. 34.3( 27 Votes )

# In a class are 27 boys and 14 girls. the teacher wants to select 1boy and 1 girl to represent the class for a function. In how many ways can the teacher make this selection?

Answer :

From 27 boys 1 boy can be selected in ^{27}C_{1} ways.

From 14 girls, 1 girl can be selected in ^{14}C_{1} ways.

So, the required ways are ^{27}C_{1} × ^{14}C_{1} ways.

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Which of the following are true :

(2 + 3)! = 2! + 3!

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