Engineering Entrance Sample Papers

Permutation and Combination Practice Test

permutations and combinations examples

Permutation and Combination Questions with Answers

Question 1
The sum of the digits in the unit place of all numbers formed with the help of 3, 4, 5, 6 taken all at a time is
A
18
B
108
C
432
D
144
Question 2
Out of 6 boys and 4 girls, a group of 7 is to be formed. In how many ways can this be done if the group is to have a majority of boys
A
120
B
100
C
80
D
90
Question 3
The number of 7 digit numbers which can be formed using the digits 1, 2, 3, 2, 3, 3, 4 is
A
420
B
2520
C
840
D
5040
Question 4
How many numbers consisting of 5 digits can be formed in which the digits 3, 4 and 7 are used only once and the digit 5 is used twice?
A
60
B
45
C
30
D
90
Question 5
How many numbers lying between  999 and 10000 can be formed with the help of the digit 0,2,3,6,7,8 when the digits are not to be repeated?
A
400
B
100
C
200
D
300
Question 6
Poonam gives a dinner party for six guests. The number of ways in which they may be selected from among ten friends, if two of the friends will not attend the party together is
A
164
B
140
C
112
D
None of these
Question 7
We are to form different words with the letters of the word INTEGER. Let m1 be the number of words in which I and N are never together and m2 be the number of words which begin with I and end with R, then m1 / m2 is equal to
A
60
B
180
C
90
D
30
Question 8
n – 1C3 + n – 1C4 > nC3, then the value of n is
A
None of these
B
7
C
> 7
D
< 7
Question 9
If nP5 = 9 x n – 1P4,  then the value of n is

Related: MUOET Chemistry Questions

A
6
B
5
C
9
D
8
Question 10
The number of ways in which first, second and third prizes can be given to 5 competitors is
A
15
B
60
C
10
D
125
Question 11
How many numbers can be made with the help of the digits 0, 1, 2, 3, 4, 5 which are greater than 3000 (repetition is not allowed)

Related: JEE (Mains) Maths Practice Paper

A
1380
B
1500
C
180
D
360
Question 12
The number of ways in which a committee  of 6 members can be formed from 8 gentlemen and 4 ladies so that the committee contains at least 3 ladies is
A
420
B
252
C
672
D
444
Question 13
How many words can be made from the letters of the word DELHI, if L comes in the middle in every word?

Related: Mensuration exam questions

A
12
B
24
C
6
D
60
Question 14
The numbers of arrangements of the letters of the word SALOON, if the two O's do not come together, is
A
120
B
720
C
360
D
240
Question 15
Preeti, Shweta, Reena and Salma have to give lectures to an audience. The organiser can arrange the order of their presentation in
A
256 ways
B
24 ways
C
12 ways
D
4 ways
Question 16
How many words can be made from the letters of the word INSURANCE, if all vowels come together?
A
12780
B
None of these
C
18270
D
17280
Question 17
The sides AB, BC, CA of a triangle ABC have respectively 3, 4 and  5 points lying on them. The number of triangles that can be constructed using these points as vertices is
A
220
B
210
C
None of these
D
205
Question 18
The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is
A
9
B
12
C
6
D
18
Question 19
Number of divisors of n = 38808 (except 1 and n) is
A
70
B
72
C
74
D
68
Question 20
The greatest possible number of points of intersection of 8 straight lines and 4 circles is

Related: Probability questions bank

A
32
B
76
C
64
D
104
Question 21
If the letters of the word SACHIN arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number
A
601
B
602
C
603
D
600
There are 21 questions to complete.

 

About the author

Vishal Arora

Leave a Comment