Question

For a psychology experiment investigating the relationship between hair color and

personal interaction, 18 subjects are used: 11 women and 7 men. Each subject is

assigned a unique ID number. Suppose that 4 women and 3 men are chosen to have

their hair bleached and dyed. Of the women chosen, one has her hair dyed vermilion,

one mauve, one puce, and one fuchsia. Of the selected men, one has his hair dyed

cyan, one Pepto-Bismal pink, and one teal. The other 11 people have their hair color

unchanged (as a control). How many ways are there for the psychologists to choose

which subject ID number goes with which dye color?

Answer 1

Number of ways in which the subject ID number of women and men can be assigned by the psychologist to dye color

=

= 1,663,200