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

Find the total number of ways of answering 5 objective type questions, each question having 4 choices.

Find the total number of ways of selecting five letters from the word INDEPENDENT.

Find the total number of ways of selecting five different letters of which 3 are alike from the word INDEPENDENT.

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

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

The number of all possible selections of one or more questions from 10 given questions, each question having an alternative is :

The number of all possible selections of one or more questions from 10 given questions, each question having an alternative is :

Find the total number of ways of selecting five letters from the letters of the word INDEPENDENT. How many words can be formed from these five letters ?

There are 6 multiple choice questions in an examination. How many sequence of answers are possible, if the first three questions have 4 choices each and the next three have 5 each?

There are 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next three he 2 each?