Skip to content
doubtly

Write S, n(S) and events A, B, C: From three men and two women, environment committee of two persons is to be formed. A: at least one woman member. B: one man, one woman. C: no woman member.

Write sample space 'S' and number of sample point n(S) for each of the following experiments. Also write events A, B, C in the set form and write n(A), n(B), n(C).

(5) From three men and two women, environment committee of two persons is to be formed.
Condition for event A : There must be at least one woman member.
Condition for event B : One man, one woman committee to be formed.
Condition for event C : There should not be a woman member.

1 answer

Answer: n(S) = 10; n(A) = 7; n(B) = 6; n(C) = 3

Let the men be M1, M2, M3 and the women F1, F2.

S = {M1M2, M1M3, M2M3, M1F1, M1F2, M2F1, M2F2, M3F1, M3F2, F1F2}, n(S) = 10

A = {M1F1, M1F2, M2F1, M2F2, M3F1, M3F2, F1F2}, n(A) = 7

B = {M1F1, M1F2, M2F1, M2F2, M3F1, M3F2}, n(B) = 6

C = {M1M2, M1M3, M2M3}, n(C) = 3

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report
Was this answer helpful?

Your answer

Log in or create a free account to answer this question.