Question

@ Mr. DumbCow
Will you take a look at these (similar to others you've done tonight)? Thanks.

cwhutche
Assume that you have 5 different types of
vegetables and 10 different types of fruit. A vegetable salad consists of a mixture of any 3 types of vegetables, and a fruit salad consists of a mixture of 2 kinds of fruit.
(1) In how many different ways can you prepare
a vegetable salad and a fruit salad?
(2) In how many different ways can you prepare
a vegetable salad or a fruit salad but not both?
(3) How many ways can you choose two different
kinds of salad?

Answer 1

(1) 5C3 x 10C2

Answer 2

Parts 2 and 3? any idea?

Answer 3

i don't quite get what they mean for (2)

3) is same as part 1i think : 5C3 *10C2

Answer 4

ill try it

Answer 5

it wasnt

Answer 6

Weirdly worded question.

Answer 7

I was thinking that in (2) the answer is the sum of 5C3 + 10C2

Answer 8

yeah ^^ just thought of that

Answer 9

they all are that way
the exam today wasnt so so bad but my goodness

Answer 10

55 is correct

Answer 11

Problems worthy of attack prove their worth by hitting back. (Piet Hein)

Answer 12

Anyone working on part 3?

Answer 13

is it not 450 ....5C3*10C2

Answer 14

(3) looks like 2! x 5C3 x 10C2... since 2 ways of selecting salad

Answer 15

no

Answer 16

#3 First, we need to determine the number of vegetable and fruit salads possible which is C(5,3) and C(10,2) receptively.


Then the product should give the right answer.

Answer 17

395 ?

Answer 18

How do you get 395?

Answer 19

395 is wrong and so is 2!*C(5,3)*C(10,2)

Answer 20

do i add them instead of multiply

Answer 21

Is 450 correct?

Answer 22

no

Answer 23

@ Mr. Fool for Math
5C3*10C2 - [5C3 + 10C2]

Answer 24

haha we are running out of options

well there are 10 ways of choosing veg salad
45 ways of choosing fruit salad

maybe you can choose 2 veggie salads or 2 fruit salads as well

-> 450 + 10C2 + 45C2 = 1485
??

Answer 25

WE HAVE A WINNER!!!!!!!!!!!!!!!!!!

Answer 26

1485

Answer 27

But when we "choose 2 veggie salads or 2 fruit salads as well" how come our choices are still different?

Answer 28

Direct thank you so much

Answer 29

This question is poorly worded when solvers have to "guess" what the question author means to say.
@ Mr. Fool for Math - I don't know but will work on it.

Answer 30

I agree with Directrix, this question is ill-worded.

Answer 31

I agree they just create confusion