Correct Answer - Option 2 : 350
Concept:
The number of ways to select r things out of n given things wherein r ≤ n is given by: \({\;^n}{C_r} = \frac{{n!}}{{r!\; \times \left( {n - r} \right)!}}\)
Calculation:
We have to select 3 men out of 7 men, so the number of ways of selection = 7C3
Now, we have to select 3 women out of 5 women, so the number of ways of selection = 5C2
Required no. of ways = 7C3 × 5C2 = 350