Q.1. Ten different letters of an alphabet are given. 2 of these letters followed by 2 digits are used to number the products of a company. In how many ways can the products be numbered?
10*9*10*9 = 8100
Q.2. How many five digit numbers can be formed using 0, 2, 3, 4 and 5 when repetition is allowed, such that the number formed is divisible by 2 or 5 or both?
4*5^3* 5 - 4*5^3 * 1 = 2500 - 500 = 2000
Q.3. There are 12 children in a party. In how many ways can different pairs be made?
12C2 = 12*11/2 = 66
Q.4. How many different differences can be obtained by taking only two numbers at a time from 3, 5, 2, 10 and 15?
IMO 18, there're 20 differences you can get, for different remove (5-10 same as 10-15, and 10-5 same as 15-10)