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

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) $^5C_1\times 4=5\times 4=20$ ways

2) $^5C_2\times 3=10\times 3=30$ ways

3) $^5C_3\times 2=10\times 2=20$ ways

4) $^5C_4\times 1=5\times 1=5$ ways

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

Therefore, There are 75 ways.