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Let A = {x : x is a letter in the word I...

Let A = {x : x is a letter in the word INDIA} and B={x : x is a vowel in the word EDUCATION} Verify : `n(A uu B)=n(A)+n(B)-n(A nn B)`

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`A={I, N, D, A}`
`B={E, U, A, I, O}`
`n(A)=4`
`n(B)=5`
`A uu B={I, N, D, A, E, U, O}`
`n(A uu B)=7`
`A nn B={A, I}`
`n(A nn B)=2`
`n(A)+n(B)-n(A nn B)`
`=4+5-2=7`
`:. n(A uu B) = n(A)+n(B)-n(A nn B)`
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