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If X and Y are two sets such that X uu Y has 20 objects, X has 10 objects and Y has 15 objects;how many objects does X nn Yhave ?

Answer»

SOLUTION :GIVEN `|X uu Y |20`
`|X|=10 |Y|=15` We KNOW that `|X uu Y| =|X|+|Y|-|X nn Y|`
`implies20 =10+15-|X nn Y|`
`implies|XnnY|=25-20=5`
`:.`X nn Y Has 5 elements.


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