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CAT-2005-Previous Years Paper

Question
5 out of 30
 

In a chess competition involving some boys and girls of a school, every student had to play exactly one game with every other student. It was found that in 45 games both the players were girls, and in 190 games both were boys. The number of games in which one player was a boy and the other was a girl is



A 200
B 216
C 235
D 256

Ans. A

Let there be m boys and n girls nC2 = 45 = n (n−1) = 90 n = 10

mC2 = 190 = 190 m (m − 1)
= 380
m = 20

The number of games between one boy and one girl

= 10C1 × 20C1 = 10 × 20 = 200

CAT-2005-Previous Years Paper Flashcard List

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