Question

(i) n(U)
(ii) n(N')
(iii) n(N) + n(S)
(iv) n(M')+n(S')
(v) n(M) + n(N).

Answer 1

The question involves expressions with sets and operations like union and complement. Each expression is calculated step-by-step. For example, to calculate n(N'), we subtract the number of elements in set N from the total number of elements in the universal set.

Step-by-step explanation:

The given question contains expressions involving the number of elements in different sets, written as 'n'. The functions or operations involved include union, complement, and addition. Let's break down and calculate each expression step-by-step:

(i) n(U): The number of elements in the universal set U. This will depend on the context of the question or problem.

(ii) n(N'): The number of elements not in the set N, also known as the complement of N. To find this, we subtract the number of elements in N from the total number of elements in U. Let's say n(U) = 10 and n(N) = 6, then n(N') = n(U) - n(N) = 10 - 6 = 4.

(iii) n(N) + n(S): The sum of the number of elements in sets N and S. If n(N) = 5 and n(S) = 8, then n(N) + n(S) = 5 + 8 = 13.

(iv) n(M') + n(S'): The sum of the number of elements not in set M and the number of elements not in set S. The complements of M and S would be needed to calculate this.

(v) n(M) + n(N): The sum of the number of elements in sets M and N. If n(M) = 4 and n(N) = 9, then n(M) + n(N) = 4 + 9 = 13.