1. | The number of ways the letters of the word "Triangle" to be arranged so that the word 'angle' will be always present is |
A. |
B. |
C. |
D. |
2. | If ^{n} c_{r-1} = 56, = 28 and ^{n} c_{r+1} = 8, then r is equal to |
A. |
B. |
C. |
D. |
3. | The number of even numbers greater than 300 can be formed with the digits 1, 2, 3, 4, 5 without repetion is |
A. |
B. |
C. |
D. |
4. | is equal to Options: A. B. C. D.None of these |
A. |
B. |
C. |
D. |
5. | A committee of 3 ladies and 4 gents is to be formed out of 8 ladies and 7 gents. Mrs. X refuses to serve in a committee in which Mr. Y is a member. The number of such committees is |
A. |
B. |
C. |
D. |
6. | If then the value of r is |
A. |
B. |
C. |
D. |
7. | If 12 school teams are participating in a quiz contest, then the number of ways the first, second and third positions may be won is |
A. |
B. |
C. |
D. |
8. | The number of different words that can be formed with 12 consonants and 5 vowels by taking 4 consonants and 3 vowels in each word is Options: A. B. C.4950(7)! D.None of these |
A. |
B. |
C. |
D. |
9. | 3 ladies and 3 gents can be seated at a round table so that any two and only two of the ladies sit together. The number of ways is |
A. |
B. |
C. |
D. |
10. | If 50 different jewels can be set to form a necklace then the number of ways is Options: A. B. C.49! D.None of these |
A. |
B. |
C. |
D. |
11. | ^{n}P_{r} can also written as Options: A. B. C. D.None of these |
A. |
B. |
C. |
D. |
12. | The number of straight lines obtained by joining 16 points on a plane, no twice of them being on the same line is |
A. |
B. |
C. |
D. |
13. | There are 5 speakers A,B,C,D,E.The number of ways in which A will speak always before B is Options: A.24 B. C.5! D.None of these |
A. |
B. |
C. |
D. |
14. | The Supreme Court has given a 6 to 3 decision upholding a lower court; the number of mays it can give a majority decision reversing the lower court is |
A. |
B. |
C. |
D. |
15. | At an election there are 5 candidates and 3 members are to be elected. A voter is entitled to vote for any number of candidates not greater than the number to be elected. The number of ways a voter choose to vote is |
A. |
B. |
C. |
D. |
16. | The number of ways in which the letters of the word DOGMATIC can be arranged is |
A. |
B. |
C. |
D. |
17. | The number of ways in which 6 men can be arranged in a row so that the particular 3 men sit together,is Options: A. B. C. D.None of these |
A. |
B. |
C. |
D. |
18. | A person has 8 friends. The number of ways in which he may invite one or more of thai to a dinner is. |
A. |
B. |
C. |
D. |
19. | If . ^{n}P_{3}: ^{n}P_{2} =3:1, then n is equal to |
A. |
B. |
C. |
D. |
20. | There are 10 trains plying between Calcutta and Delhi. The number of ways in which a person can go from Calcutta to Delhi and return by a different train is |
A. |
B. |
C. |
D. |