Find the total number of ways of answering five objective type questions, each question having four choices

(i) Count the total number of ways of answering 6 objective type questions , each question having 4 choices. (ii) In how many ways 10 pigeons can be placed in 3 different pigeon holes ? (iii) Find the number of ways of distributing 12 distance prizes to 10 students ?

There are 10 true or false questions in an examination. Number of ways of answering these 10 questions which are marked either T or F is

Find the total number of way in which n distinct objects can be put into two different boxes

Find the number of ways of dividing 52 cards among four players equally.

If n_1 and n_2 are five-digit numbers, find the total number of ways of forming n_1 and n_2 so that these numbers can be added without carrying at any stage.

A test consists of 10 multiple choice questions . In how many ways can the test be answered if (i) Each question has four choices ? (ii) The first four questions have three choices and the remaining have five choices ? (iii) Question number n has n + 1 choices ?

Find the number of ways in which n distinct objects can be kept into two identical boxes so that no box remains empty is