Permutations and Combinations

How many different arrangements can be made by using all the letters of the word (i) MONDAY; (ii) ORIENTAL? How many of these arrangements begin with A and end with N?

Problem 2: Permutation

In how many ways can a consonant and a vowel be chosen out of the letters of each of the words (i) LOGARITHM, (ii) EQUATION?

Problem 3: Permutation

Problem 4: Permutation

There are 50 stations on a railways line. How many different kinds of single first class tickets must be printed so as to enable a passenger to go from one station to another?

Problem 5: Permutation

How many different numbers of six digits can be formed with the digits 3, 1, 7, 0, 9, 5? How many of these have 0 in ten’s places?

Problem 6: Permutation

How many different words can be formed with the letters of the word SUNDAY? How many of the words begin with N? How many begin with N and end in Y?

Problem 7: Permutation

There are four routes for going from A to B and five routes for going from B to C. In how many different ways can a man go from A to C via B

Problem 8: Permutation

Find how many words can be formed of the letters of the word "FAILURE". The four vowels always coming together.

Problem 9: Permutation

In how many ways 10 examination papers be arranged so that the best and worst papers never come together.