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How many different four-digit numbers gr...

How many different four-digit numbers greater than 6000 can be formed using the digit 1,2,4,5,6,7, if repetitions are allowed ?

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MAHAVEER PUBLICATION-PERMUTATIONS AND COMBINATIONS -QUESTION BANK
  1. Without reptition how many 4 digit numbers can be formed with the digi...

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

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

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

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

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

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

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  8. Find the value : 5! - 3!

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

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

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

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

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

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

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

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

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  17. Find the value : "^6C3

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  18. Find the value : "^5C4 + ^7C4

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  19. Find the value : "(^7C3)/(^3C2)

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  20. If .^(n)C(r-1)=36, .^(n)C(r)=84 and .^(n)C(r+1)=126, find n and r.

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