Answer with Step-by-step explanation:
The condition that at least 2 women are included is satisfied in the below cases:
Case 1) Exactly 2 women included
Thus the total number of ways to select the committee is

Case 2) Exactly 3 women included
Thus the total number of ways to select the committee is

Case 3) Exactly 4 women are included
Thus the total number of ways to select the committee is

Thus the total number of commitees possible are

Part 2)
If Mr and Mrs Simith are not to be both included then in that case the number of ways are the sum of
1) All cases of Mr Smith included and Mrs smith excluded

2) Mrs smith included and Mr Smith Included

Thus the cases are
