Question

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.

Answer 1

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...

Answer 2

For One man and 4 women:

6C1*(4C4) solve this first..

Answer 3

6C1 x 4C4 = 6

Answer 4

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

Answer 5

No It is not true..

Answer 6

hmmm?

Answer 7

Are that getting you the answer @JayDS

Answer 8

nope, I am 5 off.

Answer 9

The original answer is??

Answer 10

Do you know how we cannot choose 10C5 ??

Answer 11

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

Answer 12

nope.

Answer 13

original answer is 252.

Answer 14

What is the original answer??

Answer 15

Okay now let me try..

Answer 16

kk

Answer 17

Have you tried 10C5??

Answer 18

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

Answer 19

I think no..

Answer 20

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

Answer 21

actually it works for some reason 10C5=252

Answer 22

maybe the textbook answer is wrong?

Answer 23

May be I am wrong..

Answer 24

Oh sorry..

I think I got it thanks Ganpat..

Answer 25

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

Answer 26

please explain in easy terms lol.

Answer 27

Yes @JayDS I am wrong in that..

Sorry..

Answer 28

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

Answer 29

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

Answer 30

okok.

Answer 31

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.)

Answer 32

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...

Answer 33

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

Answer 34

i guess, it shd be = 3 * 3! ??

@waterineyes : what say ??

Answer 35

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

Answer 36

one scoop -
3

two scoops -
3*2

3 scoopts -
1

Answer 37

add them

Answer 38

that's confusing lol.

Answer 39

ok

Answer 40

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

Answer 41

simply 3C1

Answer 42

one scoop of ice cream u meant?

Answer 43

yes

Answer 44

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 ?

Answer 45

3C2

right ?

Answer 46

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

Answer 47

yes thats why its 3C2

combination implies all choices are different

Answer 48

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

Answer 49

really?

Answer 50

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

Answer 51

yes

Answer 52

ok, so when will it just be 3x3?

Answer 53

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

Answer 54

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

Answer 55

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,

Answer 56

sorry.

Answer 57

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