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Combination

Eighteen stud...

Question

Eighteen students participated in a table tennis contest The students were divided into pairs numbered from 1 to 9 Even numbered pair consist of a boy and a girl and odd numbered pair numbered pair consist of two boys The number of boys participated in the contest is

A

10

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B

12

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C

14

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D

11

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Solution

The correct option is C 14
Total number of student =18
Student are divided pairs numbered 1 to 9
In even number pair there are 1 boy 1 girl
Total boys in even number pair(2,4,6,8) =4 boys
In odd number pair there are 2 boys
Total boys in odd number pair(1,3,5,7,9)=10 boys
Total number of boys $= 10 + 4 = 14$

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