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(A) Out of 1675 students of NSU, 420 played cricket, 470 played football, and 416 played table tennis; of the total 98 played both cricket

(A) Out of 1675 students of NSU, 420 played cricket, 470 played football, and 416 played table tennis; of the total 98 played both cricket and football, 144 played football and table tennis, 85 played cricket and table tennis, and 55 played all the three games. 

(i) How many students played the games? (ii) How many students played only cricket, only table tennis, and only football? (iii) How many students didn’t play any games?

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