 # Permutation and Combination PDF and Quiz For SBI Clerk Pre, IBPS Clerk Pre, IBPS RRB, NRA CET  Directions: Study the following set of questions carefully and answer the questions given below.
Important for :
1
16 persons shake hands with one another in a party. How many shake hands took place?
» Explain it
B
Total possible ways = 16C2

 = 16 × 15 = 120 2 × 1

Hence, option B is correct.

2
How many 3 - letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
» Explain it
A
The word 'LOGARITHMS'' has 10 different alphabets

Hence, the number of 3-letter words (with or without meaning) formed by using these letters = (10P3)

= 10 × 9 × 8 = 720

Therefore, option (A) is correct.
3
In how many different ways can the letters of word ‘POPULAR’ be arranged?
» Explain it
E
The total no. of letters in the word POPULAR is 7 where P appears twice

 Reqd no. of ways = 7! 2!

=   7 × 6 × 5 × 4 × 3  =  2520.

Hence, option E is correct.

4
A team of 7 children is to be selected out of 7 girls and 5 boys such that it contains at least 5 girls. In how many different ways can the selection be made?
» Explain it
B
A team of seven children consisting of at least five girls can be formed in the following ways

Case I: When five girls and two boys are selected 7C5 × 5C2

Case II: When six girls and one boys are selected 7C6 × 5C1

Case III: When seven girls and no boy are selected 7C7

Reqd no. of selections =  7C5 × 5C2 + 7C6 × 5C1 + 7C7

 = 7 × 6 × 5 × 4 + 7 × 5 + 1 2 2 1

= 21 × 10 + 7 × 5 + 1 = 210 + 35 + 1 = 246

Hence, option B is correct.

5
In how  many different ways can the letters of word RABBIT be arranged?
» Explain it
A
 Required no. of ways = 6! = 360 ways 2!

Hence, option A is correct.

### Permutation and Combination Questions for Bank Clerk Pre Exams.

There are various ways in which objects from a set can be selected, generally without replacement to form subsets. The selection of subsets is known as permutation when order of selection is a factor, a combination is when the order is not a factor.

Permutation and combination is an important topic for any competitive exam. At Smartkeeda we have covered this topic in depth, so you can understand and gain mastery over this topic.

Practice daily at Smartkeeda with in-depth explanation to gain an understanding of the topic and improve your score.

Regards
Team Smartkeeda