数的排列与组合问题(希望详细说明一下解答原理)

2025-04-01 00:32:45
推荐回答(1个)
回答1:

一、五个瓶子都贴了标签,其中恰好贴错了三个,贴错的可能性共有多少种?(D)
A.6
B.10
C.12
D.20
C(5,3)*2=20
从5个里选3个有=10种,其中每种又有两种贴错的可能说一再乘以2。
二、4只小鸟飞入4个不同的笼子里,每只小鸟都有自己的一个笼子(不同的鸟,笼子也不同),每只笼子只能飞进一只鸟,若都
bu
飞进自己的笼子里,有(D)种不同的飞法。
A.16
B.15
C.12
D.9
A(4,4)-[2*4+C(4,2)+1]=9
A(4,4)是总共有24中飞法,因次还要从中减去飞回自己笼子的飞发。其中一只飞回自己笼子有两种飞法,4只就有2*4=8中;有两只飞回自己笼子的飞法有C(4,2)=6种;有三只,也可以说成是四只的情况有一种。
三、有10粒糖,如果每天至少吃一粒,吃完为止,求有多少种不同吃法(B)
A、488
B、512
C、218
D、256
2^9=512
解释起来很麻烦,记住这个公式就行了:吃法=2^(n-1),其中n代表糖的数量。
希望你能看明白……

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