# Premiation

• September 27th 2012, 01:55 PM
jthomp18
Premiation
How many different man-woman couples can be formed at a dance where there are 12 women and 8 men?

1. 12C1 *8C1 or 12P1 *8P1

2. 202

3. 20 * 8

4. None of the above

We think the answer is 96. However, both answers in number 1 equal 96. But, can be premiation and combination but together in one answer?
• September 27th 2012, 02:13 PM
MathoMan
Re: Premiation
Answer lies in basic counting principle.
• September 27th 2012, 02:19 PM
jthomp18
Re: Premiation
So that would be 12 * 8 if we used basic counting principle? So "none of the above?"
• September 27th 2012, 02:24 PM
MathoMan
Re: Premiation
${12 \choose 1}\cdot{8 \choose 1 }=12\cdot 8$
• September 27th 2012, 02:27 PM
jthomp18
Re: Premiation
That is what I understood. I knew the answer was 96. I just dont ever see premiation and combination together. I did not know if those TWO could be an answer. I do not think they do, so my answer will be none of the above since 96 is not listed.