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The total number of 9 digit numbers whic...

The total number of 9 digit numbers which have all different digit is

A

`10!`

B

`9!`

C

`9(9)!`

D

`8(9)!`

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The correct Answer is:
C
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Statement 1: Total number of five-digit numbers having all different digit divisible by 4 can be formed using the digits {1,3,2,6,8,9} is 192. Statement 2: A number is divisible by 4, if the last two digits of the number are divisible by 4. (a) Statement 1 and Statement 2, both are correct. Statement 2 is the correct explanation for Statement 1 (b) Statement 1 and Statement 2, both are correct. Statement 2 is not the correct explanation for Statement 1 (c) Statement 1 is correct but Statement 2 is not correct. (d) Both Statement 1 and Statement 2 are not correct.

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Find the total number of nine-digit numbers that can be formed using the digits 2, 2, 3, 3, 5, 5, 8, 8, 8 so that the odd digit occupy the even places.

Find the number of n digit numbers, which contain the digits 2 and 7, but not the digits 0, 1, 8, 9.

The total number of six-digit natural numbers that can be made with the digits 1, 2, 3, 4, if all digits are to appear in the same number at least once is a. 1560 b. 840 c. 1080 d. 480

The number of n digit numbers which consists of the digit 1 and 2 only if each digit is to be used atleast once is equal to 510, then n is equal to ________.

The number of 10 digit numbers formed by using the digits 1&2 is

Find the total number of n -digit number (n >1) having property that no two consecutive digits are same.

PATHFINDER-PERMUTATION AND COMBINATIONS-QUESTION BANK
  1. The number of ways in which 6 different balls can be put in two boxes ...

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  2. If 7 points out of 12 are in same st. line the number of triangles for...

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  3. The total number of 9 digit numbers which have all different digit is

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  4. The number of ways in which 5 letters can be posted in 10 letter boxes...

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  5. The number of five digit telephone numbers none of their digits being ...

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  6. There are 13 stations on a certain railway line.How many kinds of diff...

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  7. Prove that (2n!)/(n!)={1.3.5.....(2n-1)}2^n

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  8. Find the number of diagonals in a polygon with n sides.

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  9. A man has 6 friends. In how many ways can he invite one or more of the...

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  10. Find the value of n ^ 2nC4: ^nC3=35:2

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  11. If , ^nC1,^nC2 and ^nC3 are in AP. Find the value of n.

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  12. How many numbers of 5 digits can be formed with the digits 0,2,5,6,7 w...

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  13. A child has 6 pockets and 4 coins.Find the number of ways the child ca...

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  14. Find the number of ways in which one or more letters can be selected ...

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  15. If n parallel straight line in a plane are intersected by a family of ...

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  16. Prove that product of any r consecutive natural numbers is always divi...

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  17. If (nP(r-1))/a=(nPr)/b=(nP(r+1))/c then show that b^2-ab-ac=0

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  18. Prove that 33! is divisible by 2^(16)

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  19. Find the value of k if ^(k^2-2k)C9 = ^(k^2-2k)C6

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  20. If ^nPr=336 and ^nCr=56 then find n and r.

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