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Binomial Theorem question

2024 · 9 Apr · Shift 1 · Q38

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2024 · 9 Apr · Shift 1 · Q38

Binomial Theorem question

2024 · 9 Apr · Shift 1 · Q38

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

The coefficient of

x^{70}

in

x^2(1+x)^{98}+x^3(1+x)^{97}+x^4(1+x)^{96}+\ldots+x^{54}(1+x)^{46}

is

{ }^{99} \mathrm{C}_{\mathrm{p}}-{ }^{46} \mathrm{C}_{\mathrm{q}}

. Then a possible value of

\mathrm{p}+\mathrm{q}

is :

A
61
B
83
C
55
D
68

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