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Which of the following is/are correct...

Which of the following is/are correct

A

`101^50-99^50 gt 100^50`

B

101^50-100^50 gt 99^50`

C

`(1000)^(1000) gt (1001)^(999)`

D

`(1001)^(999) gt (1000)^(1000)`

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The correct Answer is:
A, B, C
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
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  7. Let P=sum(r=1)^(50)((50+r)Cr(2r-1))/((50)Cr(50+r)), Q=sum(r=1)^(50)(50...

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  8. In reference to the expansion (1+x)^n=sum(r=0)^nCrx^r, n in N, match t...

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  10. Match List - I with List-II

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  12. Given (1-2x+5x^2-10x^3)(1+x)^n=1+a1x+a2x^2+.... and that a1^2=2a2, the...

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  13. The digit in the units place of the decimal representation of 7^1000 i...

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  14. The remainder, if 1+2+2^2+2^3+....+2^1999 in divided by 5 is

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  15. The sum of possible values of x for which the fifth term in the expans...

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  17. If in the expansion of (1+x)^43 the coefficient of (2r+1)^(th) term in...

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  18. The coefficient of the middle term of the expansion of (1-2x+x^2)^n is

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  19. Find the coefficient of x^4 in the expansion of (1+x-2x^2)^7

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  20. If the coefficients of four consecutive terms in the expansion of (1+x...

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