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?

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?

There are 8 vacant chairs in a room. In how many ways can 5 persons take their seats?

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?

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?

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?

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

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

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

How many numbers between 3000 and 4000 can be formed with the digits 1, 2, 3, 4, 5, 6?

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