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If (+x)^n=sum(r=0)^n ar x^r&br=1+(ar)/(...

If `(+x)^n=sum_(r=0)^n a_r x^r&b_r=1+(a_r)/(a_(r-1))&prod_(r=1)^n b_r=((101)^(100))/(100!),` then equals to: 99 (b) 100 (c) 101 (d) None of these

A

`((100)^(101))/(101!)`

B

`((101)^(100))/(100!)`

C

`((101)^(100))/(101!)`

D

None of these

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The correct Answer is:
B
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DISHA PUBLICATION-BINOMIAL THEOREM -EXERCISE-2 (CONCEPT APPLICATOR)
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  7. If (+x)^n=sum(r=0)^n ar x^r&br=1+(ar)/(a(r-1))&prod(r=1)^n br=((101)^...

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  20. The value of the expression 1-((n/1).((1+x)/(1+nx))+((n(n-1))/(1.2))((...

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