Eight chairs are numbered 1 to 8. Two women and 3 men wish to occupy one
chair each. First the women choose the chairs from amongst the chairs 1 to 4
and then men select from the remaining chairs. Find the total number of possible
arrangements.

Question

Eight chairs are numbered 1 to 8. Two women and 3 men wish to occupy one
chair each. First the women choose the chairs from amongst the chairs 1 to 4
and then men select from the remaining chairs. Find the total number of possible
arrangements.

mathslover · Answer

What you tried yet goformit?

mathslover · Answer

Guys please wait, let goformit explain first, what he tried

anonymous · Answer

Consider the first four chairs first. We want to know the number of possible ways the women will chose 2 out of the 4 yielding $_4C_2=4!/2!=4\times3=12$. Intuitively, consider how we many different chairs we could assign the women chairs:|dw:1371200168182:dw|