Thursday, February 16, 2006

math problem # 8

Group Members:
Thyrza May
Julie Rose
Michael
Alex M.
Rina
Cindy

Problem:
Jason Jolt is lending part of his art collection to the local library. He has 5 oil paintings and 2 watercolors. The library would like to borrow two oil paintings and one watercolor. In how many different ways can Jason choose the three paintings?

Answer:
Answer:This question is like number 6. You list all the possibilities. To make it easier, pretend the six oil paints are A, B, C, D and E . Also pretend the two water color as 1 and 2. Just like shown below but be careful because you shouldn't have same posibilities like A, B, 1 and B, A, 1 because it is the same the order doesn't matter.Oil Paintings:A, B, C, D, EWater Color:1, 2
Here are the Posibilities:
A, B ,1
A, C, 1
A, D, 1
A, E, 1
A, B, 2
A, C, 2
A, D, 2
A, E, 2
B, C, 1
B, D, 1
B, E, 1
B, C, 2
B, D, 2
B, E, 2
C, D, 1
C, E, 1
C, E, 2
C, D, 2
D, E, 1
D, E, 2

* THERE ARE 20 DIFFERENT WAYS OF CHOOSING THE THREE PAINTINGS *
Shortcut:

Try to solve the posibilities with only one water color. Like this:

A, B ,1
A, C, 1
A, D, 1
A, E, 1

B, C, 1
B, D, 1
B, E, 1

C, D, 1
C, E, 1

D, E, 1

So there's 10 posibilities but don't forget there's two water colors. So you multiply the answer to 2 and in this case it is ten . So you multiply 10 by two which is 20.

* THERE ARE 20 DIFFERENT WAYS OF CHOOSING THE THREE PAINTINGS *




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1 Comments:

At 1:01 PM, Blogger Mr. Reece said...

Now this is a perfect answer to this question. You showed the detailed breakdown and then came up with an ingenious shortcut to help solve the problem quicker in the future.
Nice job!

Mr. R

 

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