MATH SOLVE

4 months ago

Q:
# 51,29 749 737 7. You have 5 distance packages labeled 1,2,3,4,5. You have to mail them on 2 consecutive days with at least one package mailed each day. In how many different ways can this be done? Explain.

Accepted Solution

A:

Answer:There are 75 ways.Step-by-step explanation:Given : You have 5 different packages labeled 1,2,3,4,5. You have to mail them on 2 consecutive days with at least one package mailed each day.To find : In how many different ways can this be done?Solution : 5 different packages labeled 1,2,3,4,5. You have to mail them on 2 consecutive days with at least one package mailed each day.The possible number of ways are 1) [tex]^5C_1\times 4=5\times 4=20[/tex] ways2) [tex]^5C_2\times 3=10\times 3=30[/tex] ways3) [tex]^5C_3\times 2=10\times 2=20[/tex] ways4) [tex]^5C_4\times 1=5\times 1=5[/tex] waysTotal number of ways can this be done is 20+30+20+5=75.Therefore, There are 75 ways.