In a class of 60 students, 30 opted for NCC, 32 opted for NSS and 24 opted for both NCC and NSS. If one of these students is selected at random, find the probability that(i)         The student opted for NCC or NSS.(ii)        The student has opted neither NCC nor NSS.(iii)       The student has opted NSS but not NCC.

Explanation

To solve the problem step by step, we can use the principle of inclusion-exclusion to find the probabilities for each part of the question.

### Given Data:
- Total number of students, \( n = 60 \)
- Students who opted for NCC, \( n(A) = 30 \)
- Students who opted for NSS, \( n(B) = 32 \)
- Students who opted for both NCC and NSS, \( n(A \cap B) = 24 \)

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