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A Hall has 3 gates. In how many ways can...

A Hall has 3 gates. In how many ways can a man enter the hall through one gate and come out through a different gate?

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MAHAVEER PUBLICATION-PERMUTATIONS AND COMBINATIONS -QUESTION BANK
  1. Find the two-digit number (having different digits), which is divisibl...

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  2. A Hall has 3 gates. In how many ways can a man enter the hall through ...

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  3. If repetition is allowed, how many even numbers of two digits can be f...

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  4. Without reptition how many 4 digit numbers can be formed with the digi...

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  5. How many different four-digit numbers greater than 6000 can be formed ...

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  6. How many different four-digit numbers greater than 6000 can be formed ...

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  7. How many different five digit numbers can beformed from the digit 1,2,...

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  8. How many different five digit numbers can beformed from the digit 1,2,...

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  9. How many different five digit numbers can beformed from the digit 1,2,...

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  10. How many different five digit numbers can beformed from the digit 1,2,...

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  11. Find the value : 5! - 3!

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  12. Find the value : (7!)/(4!)

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  13. Find the value : 3! xx (7!)/(5!)

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  14. If n is a natural number then show that n! + (n+1)! = (n+2)n!

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  15. If n is a natural number then show that 1.3.5.7…..(2n-1) = ((2n)!)/(2^...

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  16. If ""^(56)P(r+ 6):""^(54)P(r+3) = 30800, find ""^(r)P(2).

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  17. Prove that ^n Pr-5^n Pr+r^(n-1)P(r2-1)dot

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  18. How many 9 letters words can be formed using the letters of the word "...

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  19. A child has four pocket and three marbles. In how many ways can the ch...

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  20. Find the value : "^6C3

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