probability question 6

2012-02-08 8:38 pm
Problem 6: The local ice cream shop sells eleven different avors of ice cream. How many different two-scoop cones are there? (The two scoops might be of the same avor or of two different avors. Following your mother's rule that it all goes to the same stomach, a cone with a vanilla scoop on top of a chocolate scoop is considered the same as a cone with chocolate on top of
vanilla.)

回答 (1)

2012-02-08 9:43 pm
✔ 最佳答案
No. of two-scoop cones of the same flavor
= 11C1
= 11!/1!10!
= 11

No. of two-scoop cones of two different flavors
= 11C2
= 11!/2!9!
= 11 x 10 / 2
= 55

Total number of two-scoop cones
= 11 + 55
= 66
參考: 賣女孩的柴


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