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

`n((n-1)P_((r-1)))=................` .

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The correct Answer is:
`nP_r`
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Definite integration as the limit of a sum : lim_(ntooo)(1^(p)+2^(p)+3^(p)+.......+n^(p))/(n^(p+1))=...........

if a,a_1,a_2,a_3,.........,a_(2n),b are in A.P. and a,g_1,g_2,............g_(2n) ,b are in G.P. and h is H.M. of a,b then (a_1+a_(2n))/(g_1*g_(2n))+(a_2+a_(2n-1))/(g_2*g_(2n-1))+............+(a_n+a_(n+1))/(g_n*g_(n+1)) is equal

((n),(r)) = (""^(n)P_(r))/(K), then K = ......

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Let X be a random variable taking values x_(1), x_(2), x_(3), ......., x_(n) with probabilities p_(1), p_(2),p_(3),………, p_(n) respectively. Then var (X) = ………..

((n),(r))+((n),(r-1))=((n+1),(r-1))

KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Permutations and Combinations (Fill in the blanks )
  1. ............are the total numbers words formed by the letters of the w...

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  2. The managing director of 'KUMAR PRAKASHAN KENDRA' arranges an exam of ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. A person has one currency not each of Rs 500, Rs 100, Rs 50 , Rs 20 a...

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  17. ............are the numbers of words using the letters of word ROSE wi...

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  18. Evaluate (n!)/(r!(n-r)!), when n = 5, r = 2.

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  19. If (1)/(8!)+(1)/(9!)=(x)/(10!), find x.

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  20. 6P3 - 5P2 = ......... .

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