PERMUTATION PROBLEMS WITH SOLUTIONS

Problem 1 :

First, second and third prizes are to be awarded at an engineering fair in which 13 exhibits have been entered. In how many different ways can the prizes be awarded?

Solution :

Problem 2 :

In how many different ways can 3 students be associated with 4 chartered accountants, assuming that each chartered accountant can take at most one student?

Solution :

Problem 3 :

If six times the number permutations of n things taken 3 at a time is equal to seven times the number of permutations of (n – 1) things chosen 3 at a time, find n.

Solution :

Problem 4 :

Compute the sum of 4 digit numbers which can be formed with the four digits 1, 3, 5, 7, if each digit is used only once in each arrangement.

Solution :

Problem 5 :

Find n, if ⁿP₃ = 60.

Solution :

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