If S and T are two sets such that S has 21 elements, T has 32 elements, and
Question:

If S and T are two sets such that S has 21 elements, T has 32 elements, and

 T has 11 elements, how many elements does S  T have?

Solution:

It is given that:

n(S) = 21, n(T) = 32, n(S  T) = 11

We know that:

n (S  T) = n (S) + n (T) – n (S  T)

∴ n (S  T) = 21 + 32 – 11 = 42

Thus, the set (S  T) has 42 elements.

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