In how many ways a hockey team of eleven can be elected from 16 players ?
Three dice are rolled. The number of possible outcomes in which at least one die shows 5 is
The number of three digit numbers having only two consecutive digits identical is
A lady gives a dinner party to 5 guests to be selected from nine friends. The number of ways of forming the party of 5, given that two of the friends will not attend the party together is
In how many ways can four children be made to stand in a line such that two of them, A and B are always together ?
There are 10 lamps in a hall. Each of them can be switched on independently. Find the number of ways in which the hall can be illuminated.
