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If nP4 : nP5 = 1 : 2 then n = .............

If `nP_4 : nP_5 = 1 : 2` then n = ............ .

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Let n_1 le n_2< n_3 < n_4< n_5 be positive integers such that n_1+n_2+n_3+n_4+n_5=20. then the number of such distinct arrangements n_1, n_2, n_3, n_4, n_5 is

KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Permutations and Combinations (Fill in the blanks )
  1. (nP4)/((n-1)P4) =5/3 then n = ......... (where n gt 4 )

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  2. If (n +1 ) ! = 12 (n-1) ! then n = ........... n in N

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  3. If nP4 : nP5 = 1 : 2 then n = ............ .

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  4. If the repetation is not allowed then we get .......... total numbers ...

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  5. .........are the 9 digit numbers formed from the number with all digit...

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  6. ............are the total numbers words formed by the letters of the w...

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  7. In an examination, there are three multiple choice questions and each ...

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  8. n((n-1)P((r-1)))=................ .

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  9. ...........are the total numbers of ways to make a password of 5 digit...

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  10. ...........are the numbers of 7 digit formed by digits 3,4,5,4,5,5 and...

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  11. ""(n)Pr+((n),(r))=.........

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  12. If ((n),(12))=((n),(8)) then n = ........ .

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  13. If ""^(n)C(9)=""^(n)C(8), find ""^(n)C(17).

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  14. If ((20) ,(r))=((20),(r+2)) then ((r),(2))=........ .

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  15. Number of diagonal of the polygon having 10 sides = ............

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  16. The numbers of rectangle formed by m horizontal and n vertical line ar...

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  17. If ((79),(r)) is maximum then r = .......... .

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  18. There are 21 points on circle . The number of chord by joining there p...

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  19. If ((2n),(3)) = 11 ((n),(3)) then n = .....

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  20. If ((2n),(3))div((n),(2))=12 then n = .......

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