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Show that 2.6.10…….to n factors =((2n)!)...

Show that `2.6.10…….`to n factors `=((2n)!)/(n!)`

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MBD PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTION BANK
  1. Compute the 2!^(3!)

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  2. Compute the 2^3!

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  3. Show that 2.6.10…….to n factors =((2n)!)/(n!)

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  4. Find r if P (20,r)=13.P(20,r-1).

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  5. Find n"if" P (n,4)=12.P(n,2)

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  6. IfP(n-1,3):P(n+1,3)=5:12,"Find "n.

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  7. Find m and n if P(m+n,2)=56,P(m-n,2)=12

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  8. Show that P(n,n)=P(n,n-1)"For all positive integers."

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  9. Show that P(m,1)+P (n,1)=P(M+n,1)for all positive integers m, n.

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  10. How many two digit even number of distinct digits can be formed with t...

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  11. How many four -digit even numbers with distinct digits can be formed o...

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  12. How many integers between 100 and 1000(both inclusive )consists of dis...

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  13. An unbiased die of six faces, market with the integers 1,2,3,4,5,6, on...

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  14. Find the total number of ways in which the letters of the word PRESENT...

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  15. Find the number of all 4-lettered words (not necessarily having meanin...

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  16. In how many ways can 2 boys and 3 girls sit in a row so that no two gi...

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  17. Five red marbles, four white marbles and three blue marbles of the sam...

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  18. How many of the functions Suppose A is a set of n elements and B is a ...

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  19. In how many ways can three men and three women sit at a round table so...

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  20. Compute the ^12C3

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