Question

Q67
If n (A) = 1000, n(B) = 500 and if n (ANB) > 1 and n (AUB) =p, then
O 500 <p < 1000
O 1001 < p < 1498
O 1000 <p < 1498
O 1000<p < 1499
​

Answer 1

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If n (A) = 1000, n(B) = 500 and if n (ANB) > 1 and n (AUB) =p, then:-

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1000<p < 1499

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Given, n(A) — 1000, п(В) — 500

and n( ANB) >1 and

n(AU B) = p

Therefore,

n(ANB) = n(A) + n(B) — п(A UB)

= 1000 + 500 – p

=1500 – p. | .. [Since

n(ANB) > 1]

➡️1500 - p > 1

➡️p < 1499 (i)

Also, n(A U B) > n(A)

= p > 1000 „(ii)

From Equations. (i) and (ii), we get

1000 < p < 1499

Thanks for reading.

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