數學題(Combination) 10分

2011-12-12 9:35 pm

圖片參考:http://imgcld.yimg.com/8/n/HA00145646/o/701112120023113873410210.jpg

ans: c: 364, d: 84 e: 371
請解釋以上問題
之後還有一連串combination問題希望各位回答或且比意見,感激不盡

回答 (1)

2011-12-12 11:07 pm
✔ 最佳答案
a) If anchovies cannot be selected, we still have 14 toppings to choose 3 randomly from them

So no. of combinations = 14C3 = 364

b) Excluding the vegetables, we still have 9 toppings to choose 3 randomly from them

So no. of combinations = 9C3 = 84

c) When there's no limitation, a total of 15C3 = 455 different combinations can be made.

So no. of 3-topping pizzas with at least one vegetable is 455 - 84 = 371
參考: 原創答案


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