Mr. and Mrs. Lucas are driving with their three children. The car they are in has two seats in the front and three seats in the back. Mr. and Mrs. Lucas always ride in the front of the car. How many ways can the family be seated?
A. 9
B. 8
C. 6
D.12

Question

Mr. and Mrs. Lucas are driving with their three children. The car they are in has two seats in the front and three seats in the back. Mr. and Mrs. Lucas always ride in the front of the car. How many ways can the family be seated?
A. 9
B. 8
C. 6
D.12

johnweldon1993 · Answer

Hmm

d = dad
m = mom
c1 = child 1
c2 = child 2
c3 = child 3

dmc1c2c3
dmc1c3c2
dmc2c1c3
dmc2c3c1
dmc3c1c2
dmc3c2c1
mdc1c2c3
mdc1c3c2
mdc2c1c3
mdc2c3c1
mdc3c1c2
mdc3c2c1

Looks like 12 to me