Question

How many ways 10 roses , 15 sunflowers and 16 daffodils can be distributed among 2 girls ?

Answer 1

Yikes... a totally different class of counting problem.
Hang on a sec...

Answer 2

Do you have to distribute ALL the flowers?

Answer 3

yes all should be distributed !

Answer 4

Okay, well, it seems to be enough to figure out how many of each flower the first girl receives.
So... if there are 10 roses, how many possible ways can you give some roses to the first girl?

Answer 5

sorry went to have dinner !
well first girl can have
0
1
2
3
4
5
6
7
8
9
10
roses

Answer 6

yeah, so that's 11 possibilities right there.
What about with the other flowers?

Answer 7

same like tha
for sunflower
0 to 15
and for daffodils
0 to 16

Answer 8

so 16 possibilities for the sunflower and 17 for the daffodils, yes?
Now just multiply them ^_^

Answer 9

15*16*17 ?

Answer 10

why 15?

Answer 11

sorry 11 ?

Answer 12

11*16*17 !

Answer 13

Yeah, that ^_^

Answer 14

1 question but why are u multiplying them ?

Answer 15

Oh, okay, good question.
Because we're considering independent possibilities.
Say we can pick any one of three letters and then any one of three numbers from 0-9

Answer 16

Then for the letters, we have three choices, and then for the numbers, we have 10, right?

Answer 17

yup, correct

Answer 18

so how many possible pairings do we have?
let's see.
Let the three letters be A, B, and C.

then for choice A, we can pair it with 10 numbers, so that's 10...
10 too for choice B
10 for choice C
So that's 30

And that's basically what we did, multiply 3 by 10
number of possibilities by the number of possibilities.

Answer 19

ohh !!

Answer 20

Thank you so much :)

Answer 21

no problem :)