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] ways
2) [tex]^5C_2\times 3=10\times 3=30[/tex] ways
3) [tex]^5C_3\times 2=10\times 2=20[/tex] ways
4) [tex]^5C_4\times 1=5\times 1=5[/tex] ways
Total number of ways can this be done is 20+30+20+5=75.
Therefore, There are 75 ways.
