Question

5. If A and B are two sets such that n(A)
n(AUB) = 275, find n(An B)
150, n(B) = 175 and​

Answer 1

✔ Explanation :-

✔ Given :-

• A and B are two sets.
• n(AUB) = 275
• n(AnB) = 150
• n(B) = 175

✔ To Find :-

• The value of n(A).

✔ Solution :-

As we know that,

n(AUB) + n(AnB) = n(A) + n(B)

[ Put the values ]

=> 275 + 150 = n(A) + 175

=> 425 = n(A) + 175

=> n(A) = 425 - 175

=> n(A) = 250

Hence,

• The value of n(A) is 250.

✔ Verification :-

n(AUB) + n(AnB) = n(A) + n(B)

[ Put the values ]

=> 275 + 150 = 250 + 175

=> 425 = 425

✔ Hence Verified !!