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Topic: A PROBLEM THE BOOK IS WRONG AT!!!
Replies: 2   Last Post: Nov 17, 1999 3:47 PM

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 Eddie Perez Posts: 1 Registered: 12/8/04
A PROBLEM THE BOOK IS WRONG AT!!!
Posted: Nov 17, 1999 12:24 PM

I EMAILED THIS TO MY TEACHER. PLEASE LOOK OVER THIS AND TELL ME WHAT
I DID IS RIGHT!!

Mr. Blundell,

I did #22 in exercise 4.3 and I feel that your answer
you gave me at end of class is wrong. The way I feel
this way is because of the wording of the question.

question was:

How MANY WAYS ARE THERE TO SELECT A COMMITEE of five
members of the department if at least 1 woman must be
on the commitee?

When it says "MANY WAYS ARE THERE TO SELECT A COMMITEE"
it doesn't mean "HOW MANY COMMITEE'S CAN BE SELECTED".
The two are 2 different things.

EX:

SUE was 1st
FRED was 2nd
JOE was 3rd
ED was 4th
Kathy was 5th

This set is 1 way to pick the commitee and on the other
hand:

FRED was 1st
SUE was 2nd
Joe was 3rd
ED was 5th
Kathy was 6th

Even thou these are the same committes they were
elected to the commitee in a different way. Isn't that
right??

So if you had 7 women and 9 men wouldnt it be like

7W * 9M * 8M * 7M * 6M= 21168 WAYS correct?
7W * 6W * 9M * 8M * 7M= 21168 WAYS correct?
7W * 6W * 5W * 9M * 8M= 15120 WAYS correct?
7W * 6W * 5W * 4W * 9M= 7560 WAYS correct?
7W * 6W * 5W * 4W * 3W= 2520 WAYS correct?
9M * 7W * 6W * 5W * 4W= 7560 WAYS correct?
9M * 8M * 7W * 6W * 5W= 15120 WAYS correct?
9M * 8M * 7M * 7W * 6W= 21168 WAYS correct?
9M * 8M * 7M * 6M * 7W= 21168 WAYS correct?

Then if you add all the ways together it equals=
132552

Please email me and tell me what the way to do it if I
am wrong because the wording of the question asks "HOW
MANY WAYS" not "HOW MANY COMMITTES". 2 different ideas.

EDDIE PEREZ
eperez@worldinter.net

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Date Subject Author
11/17/99 Eddie Perez
11/17/99 Stephen B Maurer
11/17/99 Glenn Hurlbert