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If X and Y are two sets such that X uu Y...

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 Y`have ?

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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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