[問題]天山07-24

[tandy]

A certain restaurant offers 6 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer?
A.8
B.12
C.15
D.21
E.27
答案是E請問這題如何解?謝謝

[一元]

題目要求 each dessert platter contains an equal number of kinds of cheese and kinds of fruit

當每盤只有裝1種時：
C(1,6)*C(1,2)=6*2=12

當每盤裝有2種時：
C(2,6)*C(2,2)=15

兩者相加 12+15=27，共可提供27種different dessert platters

應該是這樣算吧~

[tandy]

了解了原來是這個意思~~~
謝謝囉!!