Two girls have picked 10 roses, 15 sunflowers and 14 daffodils. What is the number of ways they can divide the flowers amongst themselves?
(A) 1638
(B) 2100
(C) 2640
(D) None of the above
Answer: (C)
Explanation: Assume the two girls only have 10 roses. They can share these in (11 choose 1) = 11C1 = 11 ways.
Similarly, they can share 15 sunflowers and 14 daffodils in
(15 choose 1) = 15C1 = 16 ways
(14 choose 1) = 14C1 = 15 ways
So, they can share all the flowers in 11 * 16 * 15 = 2640 ways
So, option (C) is correct.
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