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In a room, there are 12 bulb of same wal...

In a room, there are 12 bulb of same waltage each having a separate switch. The number of ways to light the room with different amounts of illamination is how much ?

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KUMAR PRAKASHAN-PERMUTATIONS AND COMBINATIONS-PRACTICE WORK
  1. If ""^nC10= ""^nC12 then find ""^23Cn.

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  2. In how many ways can a football team of 11 players be selected from 16...

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  3. A committee of 7 has to be formed from 9 boys and 4 girls. In how many...

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  4. A polygon has 65 diagonals, then find the number of its side.

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  5. What is the number of ways of choosing 4 cards from a pack of 52 play...

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  6. How many four digit numbers divisible by 4 can be made with the digit ...

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  7. How many different words can be formed by using all the letters of the...

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  8. 6 letters be posted by 3 boxes. The number of ways of posting the lett...

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  9. How many different words can be formed by using all the letters of the...

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  10. In how many different words can be formed by using all the letters of ...

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  11. In a room, there are 12 bulb of same waltage each having a separate sw...

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  12. There are 8 points in a plane. Out of them, 3 points are collinear. Us...

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  13. What is the number of ways of choosing 3 cards from a pack of 52 playi...

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  14. A box contains 2 white balls, 3 black balls and 4 red balls. The numbe...

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  15. How many numbers greater than 7000 can be formed with the digits 2, 5,...

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  16. Determine the number of 5 cards combinations out of a deck of 52 cards...

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  17. How many different words can be formed by using all the letters of the...

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  18. Find the number of ways in which 4 boys and 4 girls be seated in a row...

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  19. How many four digit numbers are formed using the digit 2745 without re...

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  20. How many three digit numbers are there multiple of 5 ? (without repeti...

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