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Engineering Maths - Combinatories Online Exam Quiz

Important questions about Engineering Maths - Combinatories. Engineering Maths - Combinatories MCQ questions with answers. Engineering Maths - Combinatories exam questions and answers for students and interviews.

2. The number of ways to arrange the letters of the word CHEESE are

Options

A : 120

B : 240

C : 720

D : 6

3. The number of different permutations of the word BANANA is

Options

A : 720

B : 60

C : 120

D : 360

4. The number n of ways that an organization consisting of twenty -six members can elect a president, treasurer, and secretary (assuming no person is elected to more than one position) is

Options

A : 15600

B : 15400

C : 15200

D : 15000

5. The number of ways a person can travel by bus from A to C by way of B will be

Options

A : 10

B : 12

C : 14

D : 24

6. The number of way a person roundtrip by bus from A to C by way of B will be

Options

A : 12

B : 48

C : 144

D : 264

7. The number of diagonals that can be drawn by joining the vertices of an octagon is

Options

A : 28

B : 48

C : 20

D : None of these

8. The number of ways in which a team of eleven players can be selected from 22 players including 2 of them and excluding 4 of them is

Options

A : 16 C 11

B : 16 C 5

C : 16 C 9

D : 20 C 9

9. How many 10 digits numbers can be written by using the digits 1 and 2 ?

Options

A : 10 C 1 + 9 C 2

B : 2 10

C : 10 C 2

D : 10!

10. In an examination there are three multiple choice questions and each question has 4 choices. Number of ways in which a student can fail to get all answers correct is

Options

A : 11

B : 12

C : 27

D : 63

11. In how many ways can 5 red and 4 white balls be drawn from a hag containing 10 red and 8 white balls ?

Options

A : 8 C 5 x 10 C 4

B : 10 C 5 x 8 C 4

C : 18 C 9

D : None of these

12. Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to

Options

A : 3600

B : 120

C : 7200

D : None of these

13. How many different committees of 5 can be formed from 6 men and 4 women on which exact 3 men and 2 women serve ?

Options

A : 6

B : 20

C : 60

D : 120

14. In how many ways can 5 prizes be distributed among 4 boys when every boy can take one or more prizes ?

Options

A : 1024

B : 625

C : 120

D : 600

15. If a five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5, without repetition, then total number of ways this can be done is

Options

A : 216

B : 240

C : 600

D : 3125

16. The number of words from the letters of the word `BHARAT' in which B and H will never come together, is

Options

A : 360

B : 240

C : 120

D : none of these

17. The number of different signals which can be given from 6 lags of different colours taking one or more at a time, is

Options

A : 1958

B : 1956

C : 16

D : 64

18. Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have at least one letter repeated is

Options

A : 69760

B : 302040

C : 99748

D : None of these

19. If sides AB, BC, CA of a triangle ABC have 3, 4 and 5 interior points respectively on them, then total number of triangles that can be constructed by using these points as vertices, is

Options

A : 220

B : 204

C : 205

D : 195

20. A student can take one of four Mathematics sections and one of five English sections. The number n of ways he can register for the two courses, is

Options

A : 4

B : 5

C : 20

D : 30

21. There are (n + 1) white and (n + 1) black balls each set numbered 1 to n + 1. The number of ways in which the balls can be arranged in a row so that adjacent balls are of diferent colours, is

Options

A : (2n+2) !

B : (2n+2) ! x 2

C : (n+1) ! x 2

D : 2[(n+1) ! ] 2

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