Quantitative Aptitude – Modern Maths – Permutation and Combination – In a tournament, there are 43

Slot -2 – Quantitative Aptitude – Modern Maths – Permutation and Combination – In a tournament, there are 43 junior

In a tournament, there are 43 junior level and 51 senior level participants. Each pair of juniors play one match. Each pair of seniors play one match. There is no junior versus senior match. The number of girl versus girl matches in junior level is 153, while the number of boy versus boy matches in senior level is 276. The number of matches a boy plays against a girl is?

Answer: 1098

Solution: total number of matches = 43C2 + 51C2 = 2178
Girl vs girl matches at junior level = 153 = (17×18)/2
Thus number of girls = 18
So number of boys at junior level = 43 – 18 = 25
the number of boy versus boy matches in senior level = 276 =(23×24)/2
Number of boys at senior level = 24
Number of girls at senior level = 51 – 24 = 27
So total number of girl vs boys matches =(18×25+27×24)=1098

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