A woman has 30 identical roses which she intends to give to four girls. In how many ways can she give the roses if the girls receive at least five roses each?
Thanks
finite Math Question
2014-10-16 7:34 pm
回答 (1)
2014-10-16 9:34 pm
✔ 最佳答案
The required number is the number of non-negative solutions to(x1 + 5) + (x2 + 5) + (x3 + 5) + (x4 + 5) = 30
or
x1 + x2 + x3 + x4 = 10
The number is
H(4, 10)
= C(13, 10)
= C(13, 3)
= 13 * 12 * 11 / 3 / 2 / 1
= 286
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