Permutation and combination SSC MCQ Questions With Answers Quiz

11.

Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked into a mirror, therefore they are called symmetric letters and other letters in the alphabet series are called asymmetric letters. How many three-letter computer passwords can be formed using at least one symmetric letter (no repetition allowed)?

12,870

13,780

6,435

8,648

1.

Two consonants from the English alphabet sequence must be chosen so that there is exactly one vowel between them. How many different ways can it be done?

2.

In how many ways can a person choose a programmer of 5 computer courses if 9 courses are available and 2 specific courses are compulsory for every person?

3.

In how many ways a kabaddi team of 6 players can be made from 12 players if a particular player is never chosen?

4.

There are 10 lamps in a hall and each one of them can be switched on independently. Find the total number of ways in which the hall can be illuminated?

5.

How many diagonals a decagon has?

6.

Find the number of ways of selecting 3 books from 8 different mathematics books that a particular book is not included.

7.

In how many ways can an animal trainer arrange 5 lions and 4 tigers in a row so that no two lions are together?

8.

5 children are to be seated on a bench. In how many ways can it be done if the eldest child always sits in the middle?

9.

A pack contains 5 blue, 3 red and 4 black caps. If 3 caps are drawn at random from the pack successively without replacing, what is the probability of drawing 2 blue caps and then 1 black cap?

10.

In how many different ways can the letters of the word ‘HAPPY’ be arranged having both P’s together?

12.

There is polygon of 12 sides. How many triangles can be drawn using the vertices of that polygon?

13.

There are four different bags. Also, there are four different coins. In how many ways can the coins be put into bags if there are exactly two coins in exactly one of the bags?

14.

A box contains 5 red, 4 white and 3 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours.

15.

How many words can be formed by using all the letters of word. ‘TRAIN’?

Time

1. Two consonants from the English alphabet sequence must be chosen so that there is exactly one vowel between them. How many different ways can it be done?

2. In how many ways can a person choose a programmer of 5 computer courses if 9 courses are available and 2 specific courses are compulsory for every person?

3. In how many ways a kabaddi team of 6 players can be made from 12 players if a particular player is never chosen?

4. There are 10 lamps in a hall and each one of them can be switched on independently. Find the total number of ways in which the hall can be illuminated?

5. How many diagonals a decagon has?

6. Find the number of ways of selecting 3 books from 8 different mathematics books that a particular book is not included.

7. In how many ways can an animal trainer arrange 5 lions and 4 tigers in a row so that no two lions are together?

8. 5 children are to be seated on a bench. In how many ways can it be done if the eldest child always sits in the middle?

9. A pack contains 5 blue, 3 red and 4 black caps. If 3 caps are drawn at random from the pack successively without replacing, what is the probability of drawing 2 blue caps and then 1 black cap?

10. In how many different ways can the letters of the word ‘HAPPY’ be arranged having both P’s together?

12. There is polygon of 12 sides. How many triangles can be drawn using the vertices of that polygon?

13. There are four different bags. Also, there are four different coins. In how many ways can the coins be put into bags if there are exactly two coins in exactly one of the bags?

14. A box contains 5 red, 4 white and 3 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours.

15. How many words can be formed by using all the letters of word. ‘TRAIN’?

Time

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1.

Two consonants from the English alphabet sequence must be chosen so that there is exactly one vowel between them. How many different ways can it be done?

2.

In how many ways can a person choose a programmer of 5 computer courses if 9 courses are available and 2 specific courses are compulsory for every person?

3.

In how many ways a kabaddi team of 6 players can be made from 12 players if a particular player is never chosen?

4.

There are 10 lamps in a hall and each one of them can be switched on independently. Find the total number of ways in which the hall can be illuminated?

5.

How many diagonals a decagon has?

6.

Find the number of ways of selecting 3 books from 8 different mathematics books that a particular book is not included.

7.

In how many ways can an animal trainer arrange 5 lions and 4 tigers in a row so that no two lions are together?

8.

5 children are to be seated on a bench. In how many ways can it be done if the eldest child always sits in the middle?

9.

A pack contains 5 blue, 3 red and 4 black caps. If 3 caps are drawn at random from the pack successively without replacing, what is the probability of drawing 2 blue caps and then 1 black cap?

10.

In how many different ways can the letters of the word ‘HAPPY’ be arranged having both P’s together?

12.

There is polygon of 12 sides. How many triangles can be drawn using the vertices of that polygon?

13.

There are four different bags. Also, there are four different coins. In how many ways can the coins be put into bags if there are exactly two coins in exactly one of the bags?

14.

A box contains 5 red, 4 white and 3 blue balls. Three balls are drawn at random. Find out the number of ways of selecting the balls of different colours.

15.

How many words can be formed by using all the letters of word. ‘TRAIN’?