Lesson: Fundamental Counting Principle Example

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If we have 2 ways of sitting the girls in chair no. 1, don't we have 2 ways of sitting the girls in chair no. 5 too. Likewise, 3 ways for 2, 3, 4?. Just trying to look at the flip side too. Thanks.
greenlight-admin's picture

Once we COMPLETE stage 1 (placing a girl is chair 1), then there is only ONE girl remaining.

So, when we start working on stage 2 (placing a girl in chair 5), we have only ONE way to complete this stage.

The same applies to seating the boys.

Does that help?

https://greprepclub.com/forum/qotd-19-the-5-letters-in-the-list-g-h-i-j-k-are-to-be-2652.html
.........I actually managed to derive 12 re-arrangements for this question through listing method which are....
1)H,I,G,J,K
2)H,J,G,I,K
3)H,K,G,I,J
4)H,I,G,K,J
5)H,J,G,K,I
6)H,K,G,J,I
7)J,K,G,I,H
8)J,I,G,K,H
9)I,J,G,K,H
10)I,K,G,J,H
11)K,I,G,J,H
12)K,J,G,I,H

Could you kindly help me with this?
greenlight-admin's picture

Question link: https://greprepclub.com/forum/qotd-19-the-5-letters-in-the-list-g-h-i-j-...
Your list of possible outcomes is perfect!
I'm not sure what else to add to your approach.

Here's my full solution: https://greprepclub.com/forum/qotd-19-the-5-letters-in-the-list-g-h-i-j-...

Cheers,
Brent

Extremely sorry for the inconvenience. I had for some weird
reason thought that your answer to the ques is 6(maybe I was
hallucinating). Thank you so much for the quick reply.
greenlight-admin's picture

Not to worry; it's never an inconvenience :-)

Cheers,
Brent

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