Solutions For Math Study Guide

# Solutions For Math Study Guide - Solutions For Study Guide...

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Solutions For Study Guide for Exam 2 1. a) We have 13 CD's that need to go in 13 places, so 13! or 13 P 13 will work, we would use 13 P 13 since order matters. Thus there are 6,227,020,800 ways to place these CDs back on the shelf. b) number of ways to place first 5 in order => task 1=place first 5 in order task 2=arrange 13-5=8 CDs which are left over in any order task 1 can only happen 1 way task2, we are looking at 8 CDs and 8 places for them to go, so 8! or 8 P 8 will work. So there are 40320 ways to perform task 2 Using the basic counting law, we have that there are (1)(40320)=40320 ways to arrange the CDs so that the first 5 are in order. c) P(first 5 in order) = # of ways to place the first 5 in order = 40320 total # of ways to arrange the CDs 6227020800 So, P(first 5 in order) =.000006 d) number of ways to place the last 3 in the correct order => task 1= place the last 3 in the correct order task 2 = place the 13-3=10 CDs which are left over in any order task 1 can only happen 1 way task 2 we are looking at 10 CDs and 10 places for them to go, so 10! or 10 P 10 will work.

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