Discussion

Explanation:

The number of matches played in a group of ‘n’ peope = ​​n(n-1)2

The number of girl vs girl matches in junior level = 153.

Therefore, n(n-1)2 = 153 ⇒ n = 18

Therefore there are 18 girls at junior level.
⇒ There are 43 - 18 = 25 boys at junior level.

The number of boy vs boy matches in senior level = 276.
Therefore, n(n-1)2 = 276 ⇒ n = 24

Therefore there are 24 boys at senior level.
⇒ There are 51 - 24 = 27 girls at senior level.

Therefore, we have

Therefore, the number of boys vs girls matches = 25 × 18 + 24 × 27 = 1098

Hence, 1098.

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