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1.To keep computer files secure,many programs require the user to enter a password.The shortest allowable passwords are typically six characters long and can contain both numbers and letters .How many six-character passwords are possible if (a)characters can be repeated and (b) characters cannot be repeated?
2.A relay race has 4 runners who run different parts of the race.There are 16 students on your track team.In how many ways can your coach select students to compete in the race?
3.Your school yearbook has an editor-in-chief and an assistant editor-in-chief.The staff of the yearbook has 15 students.In how many ways can students be chosen for these 12 positions?
4.Auditions are being held for the play shown.How many ways can the roles be assigned if (a) 6 people audition and (b)9 people audition?看下面给的信息.
Parts available:
student A,student B,Principal,Teacher,Librarian,Coach
第1题和第4题有2个小问题,都要回答,
人气:329 ℃ 时间:2020-05-26 21:30:20
解答
不用翻译题目吧?
第一题:
a.可以重复:
(26+10)^6=36^6=2176782336
b.不可重复:
P(5,36)=36*35*34*33*32*31=1402410240
第二题:
P(4,16)=16*15*14*13=166530
第三题:
题目好像有点问题 应该是these 2 positions吧?(一个总编和一个助理总编),或者是还有10个小编一共12个?
按照2 positions来做就是
P(2,15)=15*14=210
第四题:
一共6个角色
a.P(6,6)=6!=720
b.9个试听员听6个角色,只要挑选6个试听员还是可以多个试听员听同一个角色?感觉题目不是很明确.
按照可以多个试听员听同一个角色的话会很复杂,
如果只是挑选其中6人来试听的话,就是
P(6,9)=9*8*7*6*5*4=60480
都是最简单的排列题,能看懂题目就很容易了
答案我用计算器按的,可能会按错=.=
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