數學題(Combination)#3 10分

2011-12-12 9:51 pm

圖片參考:http://imgcld.yimg.com/8/n/HA00145646/o/701112120024913873410220.jpg

ans: 21b=120 c=6075
請解釋以上問題,thanks

回答 (1)

2011-12-12 11:52 pm
✔ 最佳答案
(21b)
It means all committee member came from either Central Canada or Western Canada

10C7
= 10C3
= 10 * 9 * 8 / (3 * 2 * 1)
= 120

(21c)

all combinations = 15C7

no representation from Eastern Canada : 10C7 = 120
no representation from Central Canada : 10C7 = 120
no representation from Western Canada : 10C7 = 120

At least one representative from each region of Canada :
15C7 - 3 * 120
= 6435 - 360
= 6075



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