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

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

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Statement -1 Let Delta _(r)=|{:((r-1),n!,6),((r-1)^(2),(n!)^(2),4n-2),((r-1)^(3),(n!)^(3),3n^(2)-2n):}| "then" overset(n+1)underset(r=1)PiDelta_(r)=0 Statement -2 overset(n+1)underset(r=1)Pi Delta_(r)=Delta_(2).Delta_(3).Delta_(4)cdotsDelta_(n+1)

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KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Permutations and Combinations (True /False Statement)
  1. If an even can occur in m ways and corresponding to each way another e...

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  2. If repetation is allowed then n objects can be arranged in r places is...

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  3. n(A)= m, n (B) = n. The total number of non empty relation from A to B...

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  4. Total numbers of 4 digits numbers using digits 5,2,3,7 and 8 are 620.

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  5. (10!)/(8!) = 9 .

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  6. 7 persons can sit on round table for discussion in 7! ways.

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

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  8. If ((n),(5))=((n),(13)) then ""^(n)C2 = ........

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  9. The product of two consecutive positive integers is always divisible b...

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  10. ((n),(r))+2.((n),(r-1))+((n),(r-2))=((n+2),(r))

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  11. If an even can occur in m ways and corresponding to each way another e...

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  12. If repetation is allowed then n objects can be arranged in r places is...

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  13. Let n(A)=5 and n(B)=3 then find the number of injective functions and ...

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  14. Total numbers of 4 digits numbers using digits 5,2,3,7 and 8 are 620.

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  15. (10!)/(8!) = 9 .

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  16. 7 persons can sit on round table for discussion in 7! ways.

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

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  18. If ((n),(5))=((n),(13)) then ""^(n)C2 = ........

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  19. The product of two consecutive positive integers is always divisible b...

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  20. ((n),(r))+2.((n),(r-1))+((n),(r-2))=((n+2),(r))

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