1. | If ^{n1+n}^{2} P_{2} = 132, ^{n1-}^{n2}P_{2} = 30 then, |
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2. | 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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3. | Lf ^{500} C_{92}=^{499}C_{92 +} ^{n}C_{91} then x is |
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4. | Five bulbs of which three are defective are to be tried in two bulb points in a dark room. Number of trials the room shall be lighted is |
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5. | 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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6. | 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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7. | Every two persons shakes hands with each other in a party and the total number of hand shakes is 66. The number of guests in the party is |
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8. | If ^{18}C = ^{18}C_{+2}, the value of ^{r}C_{5} is |
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9. | can be written as Options: A. B. C. D.None of these |
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10. | The number of words that can be made by rearranging the letters of the word APURNA so that vowels and consonants appear alternate 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 numbers lying between 100 and 1000 can be formed with the digits 1,2,3, 4, 5, 6, 7 is |
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13. | Out of 7 gents and 4 ladies a committee of 5 is to be formed.The number of committees such that each committee includes at least one lady is |
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14. | If then the value of r is |
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15. | The number of ways in which 12 students can be equally divided into three groups is |
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16. | 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 |
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17. | There are 12 points in a plane of which 5 are collinear. The number of triangles is |
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18. | 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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19. | Mr. X and Mr. Y enter into a railway compartment having six vacant seats. The number of ways in which they can occupy the seats is |
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20. | If =336 and =56,then n and r will be |
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