Of the members of three athletic teams in a certain school, 21 are in the basketball team, 26 in the hockey team and 29 in the football team. 14 play hockey and basket ball, 15 play hockey and football, 12 play football and basketball and 8 play all the three games. How many members are there in all?

Mark the correct alternative in the following:

If A and B are two disjoint sets, then n is equal to

Mark the correct alternative in the following:

Suppose A₁, A₂,...,A₃₀ are thirty sets each having 5 elements and B₁, B₂,...,B_n are n sets each with 3 elements, let and each element of S belongs to exactly 10 of the and exactly 9 of the , then n is equal to

If A and B are two sets such that n(A) = 20, n(B) = 25 and n= 40, then write n.

If A and B are two sets such that n(A) = 115, n(B) = 326, n (A − B) = 47, then write .

A survey shows that 76% of the Indians like oranges, whereas 62% like bananas. What percentage of the Indians like both oranges and bananas?

If A = {x : x ϵ N, x ≤ 7}, B = {x : x is prime, x < 8} and C = {x : x ϵ N, x is odd and x < 10}, verify that:

(i) A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

(ii) A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

Mark the correct alternative in the following:

Let be the universal set containing 700 elements. If A, B are sub-sets of such that n (A) = 200, n (B) = 300 and n=100. Then, n=

In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many like both coffee and tea?

If P and Q are two sets such that P has 40 elements, P ∪ Q has 60 elements and P ∩ Q has 10 elements, how many elements does Q have?