Question

In how many way can a boat crew of eight women be arranged if three of the women can only row on the bow side and two others can only row on the stroke side?

Answer 1

You have three options for the fourth bow side person, after that you know who is on what side. After that there are 4*3*2*1 possibilities to seat the women per side. So the final answer is 3*4*3*2*1*4*3*2*1=3*(4!)^2

Answer 2

i dont understand where the 4!^2 came from

Answer 3

Do you understand how I got to 3*4*3*2*1*4*3*2*1?

Answer 4

no not really

Answer 5

what i got was 3!x(3!x2!x3!) but i was wrong lol

Answer 6

Do you see that there are three candidates for the fourth person on the bow side?

Answer 7

but only three can row on the bow side

Answer 8

Did I misunderstand the question? there are four women on both sides right?

Answer 9

no only three on the bow side and 2 on the stroke side

Answer 10

But you have eight women?

Answer 11

ur answers is right i think I'm very confessed

Answer 12

confused

Answer 13

The way I read it is that there are three women that can only row on the bow side, two that can only row on the stroke side and three women can row on both sides.

Answer 14

i see i misunderstood the question

Answer 15

i still don't get it lol

Answer 16

Do you understand the question?

Answer 17

i thought it meant that three women can only row and two women can only stroke and the other three don't do anything so you have to find how many combinations can occur with eight women on the boat

Answer 18

I understood it differently, but we can do it like this too.

Answer 19

this is how i thought it should be done;

RRRSSOOO where R- row, S-stroke and O is other

Answer 20

so theres three combinations 3!

Answer 21

then you times it by the possibilities it then becomes:

3!x(3!x2!x3!)

Answer 22

but i think it should be :

4! x (3!x2!x3!) cause that gets me the answer at the back of the book

Answer 23

I'm just not really sure why or if my method is even correct lol

Answer 24

Let me think about this for a while.

Answer 25

ok:)

Answer 26

4! x(3!x2!x3!)=3*(4!)^2 So my first answer gives you the same answer as your book. So I'm thinking my first explanation of the question is the right one.

Answer 27

there are four possibilities to seat the women on both sides thats why its 4!