1. | The number of ways in which 9 things can be divided into twice groups containing 2, 3, and 4 things respectively is |
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2. | The number of ways in which 15 mangoes can be equally divided among 3 students is Options: A. B. C. D.None of these |
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3. | The number of ways the letters of the word COMPUTER can be rearranged is |
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4. | If ^{18}C = ^{18}C_{+2}, the value of ^{r}C_{5} is |
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5. | The total number of 9 digits numbers of different digits is |
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6. | 7! is equal to |
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7. | The number of arrangement of the letters of the word COMMERCE is |
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8. | The number of numbers lying between 10 and 1000 can be formed with the digits 2,3,4,0,8,9 is |
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9. | 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 |
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10. | The number of arrangements of 10 different things taken 4 at a time in which one particular thing always occurs is |
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11. | 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 |
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12. | The number of ways in which 12 students can be equally divided into three groups is |
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13. | The number of ways in which 8 sweats of different sizes can be distributed among 8 persons of different ages so that the largest sweat always goes to be younger assuming that each one of then gets a sweat is |
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14. | If ^{n}P_{4} = 12 x ^{n}P_{2}, then is equal to |
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15. | 5 letters are written and there are five letter-boxes. The number of ways the letters can be dropped into the boxes, are in each |
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16. | 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 |
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17. | In a group of boys the number of arrangement of 4 boys is 12 times the number of arrangements of 2 boys.The number boys in the group is |
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18. | There are 12 points in a plane of which 5 are collinear. The number of triangles is |
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19. | 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 |
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20. | If ^{n}c10 = ^{n}c_{14}, then is |
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