Question

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.

Answer 1

There are 75 ways.

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)
`^5C_1* 4=5* 4=20` ways

2)
`^5C_2* 3=10* 3=30` ways

3)
`^5C_3* 2=10* 2=20` ways

4)
`^5C_4* 1=5* 1=5` ways

Total number of ways can this be done is 20+30+20+5=75.

Therefore, There are 75 ways.