## 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

18 | |

108 | |

432 | |

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

120 | |

100 | |

80 | |

90 |

Question 3 |

The number of 7 digit numbers which can be formed using the digits 1, 2, 3, 2, 3, 3, 4 is

420 | |

2520 | |

840 | |

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?

60 | |

45 | |

30 | |

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?

400 | |

100 | |

200 | |

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

164 | |

140 | |

112 | |

None of these |

Question 7 |

We are to form different words with the letters of the word INTEGER. Let m

_{1}be the number of words in which I and N are never together and m_{2}be the number of words which begin with I and end with R, then m_{1}/ m_{2}is equal to60 | |

180 | |

90 | |

30 |

Question 8 |

^{n – 1}C

_{3}+

^{n – 1}C

_{4}>

^{n}C

_{3}, then the value of

*n*is

None of these | |

7 | |

> 7 | |

< 7 |

Question 9 |

6 | |

5 | |

9 | |

8 |

Question 10 |

The number of ways in which first, second and third prizes can be given to 5 competitors is

15 | |

60 | |

10 | |

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

1380 | |

1500 | |

180 | |

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

420 | |

252 | |

672 | |

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

12 | |

24 | |

6 | |

60 |

Question 14 |

The numbers of arrangements of the letters of the word SALOON, if the two O's do not come together, is

120 | |

720 | |

360 | |

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

256 ways | |

24 ways | |

12 ways | |

4 ways |

Question 16 |

How many words can be made from the letters of the word INSURANCE, if all vowels come together?

12780 | |

None of these | |

18270 | |

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 is220 | |

210 | |

None of these | |

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

9 | |

12 | |

6 | |

18 |

Question 19 |

Number of divisors of n = 38808 (except 1 and

*n*) is70 | |

72 | |

74 | |

68 |

Question 20 |

The greatest possible number of points of intersection of 8 straight lines and 4 circles is

**Related:** Probability questions bank

32 | |

76 | |

64 | |

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 number601 | |

602 | |

603 | |

600 |

There are 21 questions to complete.

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