## Permutation & Combination Solved Questions For IBPS, SBI and Other Bank Exams - Page 1

Permutation & Combination Solved Questions (Page 1 of 5)

Dear Reader,

Below you will find important formulas of permutation and combination problems. Following that you will find solved questions. These questions will help you in preparation for all bank exams including IBPS, SBI, RRB and other banks.

**Question 1**

Find the number ways to arrange the letters in the word 'LETTER'.

a)20 b)360 c)180 d)5040

**Answer :** c)180

**Solution :**

The word 'LETTER' contains 6 letters, namely 1-L, 2-E, 2-T and 1-R.

Required number of ways = 6! / (1!)x(2!)x(2!)x(1!) = 720 / 4 = 180.

**Question 2**

In how many different ways can the letters of the word 'SYSTEMATIC' be arranged so that the vowels always come together?

a)10080 b)60480 c)362880 d)none of these

**Answer :** b)60480

**Solution:**

In the word 'SYSTEMATIC', consider the vowels EAI as one letter.

Thus, we have SYSTMTC(EAI).

The word has 8 (7 + 1) letters of which S & T occurs 2 times and the rest are 1 time.

Number of ways of arranging these letters = 8! / (2!*2!) = 40320 / 4 = 10080.

Now, 3 vowels in which each are different, can be arranged in 3! = 6 ways.

Required number of ways = (10080*6) = 60480.

**Question 3**

How many 3-letter words can be formed with or without meaning from the letters M, Y, A, S, I and N, which are ending with M amd none of the letters should be repeated?

a)20 b)18 c)25 d)27

**Answer :** a)20

**Solution :**

Since each desired word is ending with M, the least place is occupied with M. So, there is only 1 way.

The second place can now be filled by any of the remaining 5 letters (Y, A, S, I, N). So, there are 5 ways of filling that place.

Then, the first place can now be filled by any of the remaining 4 letters. So, there are 4 ways to fill.

Required number of words = (1 x 5 x 4) = 20.

Permutation & Combination Solved Questions (Page 1 of 5)