E.IF AT LEAST ONE MEMBER MUST BE A WOMAN, THE COMMITTEE WILL HAVE...

33. e.If at least one member must be a woman, the committee will have either one woman and two menor two women and one man. Use combinations because the order does not matter.

2

Choosing one woman and two men:

2

C

1

×

4

C

2

.

1

×

⁴

2

^×

×

³

1

²⁴

2

12.

2

×

1

Choosing two women and one man:

2

C

2

×

4

C

1

.

2

×

1

⁴

1

⁸

2

4Since both situations would satisfy the requirement that at least one member is a woman, add thecombinations.12 + 4 = 16 total committees