Home Maths Set Theory and Relations General Out of 800 boys in a school 224 played crick…
Maths Set Theory and Relations General Numeric Response
Published on: August 14, 2026

Out of 800 boys in a school 224 played cricket, 240 played hockey and 336 played basketball. Of the total, 64 played both basketball and hockey; 80 played cricket and basketball and 40 played cricket and hockey; 24 played all the three games. The number of boys who did not play any game is

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Verified by Experts
The correct answer is:
160

(160)

Total boys

Let

Using Inclusion-Exclusion Principle:

Number playing at least one game

Number who did not play any game

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