Three roses will be selected for a flower vase. The florist has 1 red, 1 white, 1 yellow, 1 orange, 1 pink from which to choose. How many different three rose selections can be formed from the 5 roses?

Can someone explain it well cause I'm confused.

Question

Three roses will be selected for a flower vase. The florist has 1 red, 1 white, 1 yellow, 1 orange, 1 pink from which to choose. How many different three rose selections can be formed from the 5 roses?

Can someone explain it well cause I'm confused.

anonymous · Answer

5 C 3 , i guess !

anonymous · Answer

what is the probability that 3 roses selected at random will contain 1 red, 1 white, and 1 pink?

anonymous · Answer

We want three, and there are 5.  Let's label them R=red, W=white, Y=yellow, O=orange, P=pink.

The different combinations we can have are:
RWY
RWO
RWP
RYO
RYP
RPO
WYO
WYP
WOP
YOP

Since the order doesn't matter, that is, RWY = RYW = YWR, that's 10 different combinations, which, as mm said, is 5C3.  What that function means is actually 5!/3!*2! = 5*4*3*2*1/3*2*2*1 = 120/12

anonymous · Answer

There is only one combination that produces RWP, therefore, the probability of this being the random selection is the number of ways this can happen (ie, 1) divided by the total possible outcomes (ie, 10).  Therefore, the answer is 1/10 = .1

anonymous · Answer

how would you do that with a npr and ncr though?

anonymous · Answer

5=n 3=r, hence 5C3. The permutation (nPr) would indicate that RWY<>RYW<>YRW, which I don't believe is true for this problem (unless the instructions indicate otherwise).

anonymous · Answer

Does that make sense?