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The value of E=(1+17)1+1721+173…1+1719(1+19)1+1921+193…1+1917 is

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a
1
b
36C17
c
219
d
36C18

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detailed solution

Correct option is A

We have(1+k)1+k21+k3…1+kn=(1+k)(2+k)(3+k)…(n+k)(2)(3)…(n)=(n+k)!k!n!=n+kCkThus, both the numerator and the denominator of E equals  36C17=36C19 â‹…∴ E=1.


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