Victoria, Elsa, Henry, Jack and Jane are all friends travelling in a 5-seater car with 3 friends in the back and 2 persons in the front. Each person occupies a seat. How many different ways can they sit if Victoria sits in the back and Henry drives?

Question

Victoria, Elsa, Henry, Jack and Jane are all friends travelling in a 5-seater car with 3 friends in the back and 2 persons in the front.  Each person occupies a seat. How many different ways can they sit if Victoria sits in the back and Henry drives?

campbell_st · Answer

so 2 seats are occupied... so you are only having to seat 3 people. 

henry's seat is fixed and Victoria has a choice of 2 seats... in the back... 

so I'd expect it to be 

3! x 2! =

itiaax · Answer

Hmmm, the answer could either be:
A. 18
B. 114
C.120
D. 24

ganeshie8 · Answer

Forget about Henry

Victoria can sit in any of the 3 seats in back : 3C1
For each of these, the remaining 3 ppl can be arranged in 3! ways
so total possible arrangements = 3C1*3!

itiaax · Answer

@ganeshie8 this totally makes sense! And I understand. Thank you !

ganeshie8 · Answer

np