Permutations and Combinations Test

Result

Permutations and Combinations Test - 44

Score
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Weekly Quiz Competition

Question 1
4 / -1

12 boys and 2 girls are to be seated in a row such that there are atleast 3 boys between the 2 girls.The no.of ways this can be done is m.12! where m =________

A

B
20

C

D

Solution
Question 2
4 / -1

The first 12 letters of the english alphabet are to be written at random so that there are exactly 4 letters between A and B. the number of ways this can be done is _______?

A
7.10!

B
2.10!

C
21.10!

D
14.10!

Solution
Question 3
4 / -1

How many different words canbe formed by the letters of the word MISSISSIPPI in which no two S are adjacent ?

A

B

C

D

Solution
Question 4
4 / -1

From 6 different novels and 3 different dictionaries 4 novels and, 1 dictionary are to be selected and arranged in a row on the shelf so that the dictionary is always in the middle.Then the no, of such arrangements is _______

A
Less then 500

B
At least 750 but less then 1000

C
At least 500 but less then 750

D
At least 1000

Solution
Question 5
4 / -1

At an election 3 wards of a town are convassed by 4,5 and 8 men respectively. If there are 20 volunteers then the no. of ways they can be alloted to different wards is ?

A

B

C

D

Solution
Question 6
4 / -1

A

B

C

D

Solution
Question 7
4 / -1

A round table conference is to be held among 20 delegates of 20 countries.The no, of ways they can be seated if two particular delegates are never sit together is.

A

B

C

D

Solution
Question 8
4 / -1

Ten different letters of an alphabet are given Words with 5 letters are formed from the given letters. The no, of words which have atleast one letter repeated is _______

A
69750

B
30240

C
9948

D
10680

Solution
Question 9
4 / -1

8 chairs are numbered 1 to 8 Two women and 3 men wish to occupy one chair each first the women choose the chairs marked, 1 to 4 then the men select from among the remaining chairs. The no, of seating arrangments is

A
1250

B
1360

C
1440

D
1560

Solution
Question 10
4 / -1

There are 4 balls of different colours and 4 boxes of colours same as those of the balls. The no, of ways in which the balls, one in each box could be placed such that a ball does not go to a box of its own colour is _______

A
5

B
6

C
9

D
12

Solution