Question 1:

Find the number of ways in which five balls of different color can arrange in a row.

Question 2:

A teacher has to select 5 boys from section A, 4 boys from section B and 3 boys from section C for a competition, where section A has total 8 boys, section B has total 7 boys and section C has total 6 boys. How many choices does the teacher have?

Question 3:

A variable name in a programming language must start with an alphabet or characters “_”, next letters can be an alphabet or number. Maximum size for the variable name is 5 characters. How many different variable names are possible?

Question 4:

In how many ways can nine students be partitioned into three teams containing four, three, and two students respectively?