Question

in how many ways can 6 people be seated in a motor car if only 2 can occupy the driver's position?

Answer 1

Do you remember what a permutation is?

Answer 2

i believe so, but i wouldn't mind if you reminded me of what it was hehehe

Answer 3

Well a permutation is the number of ways a group of objects can be arranged.

Answer 4

yes

Answer 5

and order matters

Answer 6

6P2

Answer 7

@ earth citizen, are you sure because my solution booklet says the answer is 240

Answer 8

but i am not sure how they got that, does anyone know and if you do could you please show worked solutions, thank you!

Answer 9

Sorry electrict failure.

Answer 10

I see this question is very popular. So i'll take a seat.

Answer 11

haha nice pun there

Answer 12

is it repeated or non-repeated ?

Answer 13

it doesn't specify

Answer 14

\[\left(\begin{matrix}2\\ 1\end{matrix}\right)\left(\begin{matrix}5 \\ 5\end{matrix}\right)\]

Answer 15

For every time you have one of the two given people in the driver's seat the number of permutations of the remaining seats is
5!
there are two possible drivers, thus the total number of permutations is
5!+5!=240

Answer 16

roachie i don't understand what you have written, would it be ok if you explained thanks

Answer 17

6 riders 2 can drive , at any time there are 5 passengers, 5 combinations of five is 120 , 1 combination of 2 is 3 120 * 2 = 240

Answer 18

oh i see thank you turing test!!

Answer 19

very welome

Answer 20

welcome*
lol

Answer 21

ahhh thank you for the clarification roachie! and Lol @ turing test's typo hehhehe