SOLUTION: A store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple. How many ways are there to choose: (a) 24 candies? Answer = (b) 24 candie

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Question 355797: A store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple. How many ways are there to choose:
(a) 24 candies?
Answer =
(b) 24 candies with at least a piece of each flavor?
Answer =
(b) 24 candies with at least 2 cherry and at least 2 lemon?
Answer =
Answer by sudhanshu_kmr(1152) (Show Source):
You can put this solution on YOUR website!

No. of ways to choose n items from r different items = (n+r-1)C(r-1)
A)

no. of ways to choose 24 candies from 5 different flavour = 28C4 = 20475

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B)
here 1 from each is already choosed, now only 20 to choose

no. of ways to choose 20 candies from 5 different flavours = 24C4 = 10626

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C)
here same as (B) four already decided to choose.
here answer will same i.e 10626

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