Directrix
  • Directrix
@ 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?
Mathematics
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SOLVED
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jamiebookeater
  • jamiebookeater
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campbell_st
  • campbell_st
(1) 5C3 x 10C2
Directrix
  • Directrix
Parts 2 and 3? any idea?
dumbcow
  • dumbcow
i don't quite get what they mean for (2) 3) is same as part 1i think : 5C3 *10C2

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More answers

anonymous
  • anonymous
ill try it
anonymous
  • anonymous
it wasnt
Directrix
  • Directrix
Weirdly worded question.
campbell_st
  • campbell_st
I was thinking that in (2) the answer is the sum of 5C3 + 10C2
dumbcow
  • dumbcow
yeah ^^ just thought of that
anonymous
  • anonymous
they all are that way the exam today wasnt so so bad but my goodness
anonymous
  • anonymous
55 is correct
Directrix
  • Directrix
Problems worthy of attack prove their worth by hitting back. (Piet Hein)
Directrix
  • Directrix
Anyone working on part 3?
dumbcow
  • dumbcow
is it not 450 ....5C3*10C2
campbell_st
  • campbell_st
(3) looks like 2! x 5C3 x 10C2... since 2 ways of selecting salad
anonymous
  • anonymous
no
anonymous
  • anonymous
#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.
Directrix
  • Directrix
395 ?
anonymous
  • anonymous
How do you get 395?
anonymous
  • anonymous
395 is wrong and so is 2!*C(5,3)*C(10,2)
anonymous
  • anonymous
do i add them instead of multiply
anonymous
  • anonymous
Is 450 correct?
anonymous
  • anonymous
no
Directrix
  • Directrix
@ Mr. Fool for Math 5C3*10C2 - [5C3 + 10C2]
dumbcow
  • dumbcow
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 ??
anonymous
  • anonymous
WE HAVE A WINNER!!!!!!!!!!!!!!!!!!
anonymous
  • anonymous
1485
anonymous
  • anonymous
But when we "choose 2 veggie salads or 2 fruit salads as well" how come our choices are still different?
anonymous
  • anonymous
Direct thank you so much
Directrix
  • Directrix
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.
anonymous
  • anonymous
I agree with Directrix, this question is ill-worded.
anonymous
  • anonymous
I agree they just create confusion

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