Question

How many ways, 4 men and 1 woman be selected from 7 men and 3 women.

Answer 1

Step-by-step explanation:

If just 1 woman is on the committee, she can be chosen from the 4 women in 4 ways. The other 3 members can be chosen from the 7 men in 35 ways. So there's 140 possible committees with just 1 woman on it.

Answer 2

Answer:

Total number of ways are $35*3=105$ways

Step-by-step explanation:

It is given that 4 men and 1 woman be selected from 7 men and 3 women..

We need to determine number of ways.

Now, we will select 4 men from 7 men in 7$C_{4}$ ways $=35$ ways

And

1 woman be selected from 7 men and 3 women in 3 ways.

Hence total number of ways are $35*3=105$ways

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