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Mathematics 48 Online
OpenStudy (anonymous):

A committee of 5 parents is to be established from a group of 6 men and 4 women. a) Find how many different committees can be formed.

OpenStudy (anonymous):

See the combinations can be: 1 man 4 women 2 men 3 women 3 men 2 women 4 men 1 woman 5 men and no woman.. Now apply the combinations...

OpenStudy (anonymous):

For One man and 4 women: 6C1*(4C4) solve this first..

OpenStudy (anonymous):

6C1 x 4C4 = 6

OpenStudy (anonymous):

Why it can't be 10C5 ? No other conditions are given.

OpenStudy (anonymous):

No It is not true..

OpenStudy (anonymous):

hmmm?

OpenStudy (anonymous):

Are that getting you the answer @JayDS

OpenStudy (anonymous):

nope, I am 5 off.

OpenStudy (anonymous):

The original answer is??

OpenStudy (anonymous):

Do you know how we cannot choose 10C5 ??

OpenStudy (anonymous):

(6C1x4C4) + (6C2 x 4C3) + (6C3 x 4C2) + (6C4 x 4C1) + 1 =247

OpenStudy (anonymous):

nope.

OpenStudy (anonymous):

original answer is 252.

OpenStudy (anonymous):

What is the original answer??

OpenStudy (anonymous):

Okay now let me try..

OpenStudy (anonymous):

kk

OpenStudy (anonymous):

Have you tried 10C5??

OpenStudy (ganpat):

@waterineyes : Cant it be straight way 10C5 ??

OpenStudy (anonymous):

I think no..

OpenStudy (anonymous):

If you want to choose all are women then how can you choose 5 women from 4 ??

OpenStudy (anonymous):

actually it works for some reason 10C5=252

OpenStudy (anonymous):

maybe the textbook answer is wrong?

OpenStudy (anonymous):

May be I am wrong..

OpenStudy (anonymous):

Oh sorry.. I think I got it thanks Ganpat..

OpenStudy (ganpat):

as it only says, committee of 5 parents.. without specifying any fix ratio of male and female.. So i think !! :)

OpenStudy (anonymous):

please explain in easy terms lol.

OpenStudy (anonymous):

Yes @JayDS I am wrong in that.. Sorry..

OpenStudy (anonymous):

See 10C5 will give you the 5 members taken at one time from the 10 members..

OpenStudy (anonymous):

Here no condition is given that atleast or atmost words come in the question..

OpenStudy (anonymous):

okok.

OpenStudy (anonymous):

An ice-cream vendor offers chocolate, strawberry and vanilla ice-creams with one, two or three scoops. How many different ice-creams are possible? (Assume that you cannot choose two scoops of the same flavour for any one one ice-cream.)

OpenStudy (ganpat):

What the question says is committee of 5 is to be formed out of 6men and 4 women.. They have not specified , whether minimum 2 women and 3 men shd be selected or anything as such.. So it can be simply 10c5...

OpenStudy (anonymous):

yep k, I'll give the medal to @ganpat for figuring it out.

OpenStudy (ganpat):

i guess, it shd be = 3 * 3! ?? @waterineyes : what say ??

OpenStudy (anonymous):

the answer is actually 7. I tried 3C1+3C2+3C3 and it works but I want to know why is it 3C2 and 3C3?

ganeshie8 (ganeshie8):

one scoop - 3 two scoops - 3*2 3 scoopts - 1

ganeshie8 (ganeshie8):

add them

OpenStudy (anonymous):

that's confusing lol.

ganeshie8 (ganeshie8):

ok

ganeshie8 (ganeshie8):

answer me this assume : you have 3 flavors of ice creams in the menu. how many ways you can make the order for one ice cream

OpenStudy (anonymous):

simply 3C1

OpenStudy (anonymous):

one scoop of ice cream u meant?

ganeshie8 (ganeshie8):

yes

ganeshie8 (ganeshie8):

next you want to take choose a ice cream with 2 scoops - you have to choose 2 flavors from the available 3. how many ways you cam choose 2 flavors from 3 ?

ganeshie8 (ganeshie8):

3C2 right ?

OpenStudy (anonymous):

yep but there is the possibility of choosing the same flavours.

ganeshie8 (ganeshie8):

yes thats why its 3C2 combination implies all choices are different

OpenStudy (anonymous):

like Chocolate & chocolate or strawberry & strawberry or vanilla & vanilla.

OpenStudy (anonymous):

really?

ganeshie8 (ganeshie8):

those wont come in 3C2 those will come in 3*3

ganeshie8 (ganeshie8):

yes

OpenStudy (anonymous):

ok, so when will it just be 3x3?

ganeshie8 (ganeshie8):

when you dont bother about all scoops being different. its 3 * 3 ways u can choose

ganeshie8 (ganeshie8):

btw, 3*3*3 forms 3 scoop ice creams

OpenStudy (anonymous):

ok, but I've already given somebody else the medal so I have another question that I will create in a new post that you can help me with,

OpenStudy (anonymous):

sorry.

ganeshie8 (ganeshie8):

lol you gave me so many medals before... sodont bother :))

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