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Binomial Theorem question

2025 · 22 Jan · Shift 1 · Q47

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2025 · 22 Jan · Shift 1 · Q47

Binomial Theorem question

2025 · 22 Jan · Shift 1 · Q47

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

If

\sum_{r=0}^5 \frac{{ }^{11} C_{2 r+1}}{2 r+2}=\frac{\mathrm{m}}{\mathrm{n}}, \operatorname{gcd}(\mathrm{m}, \mathrm{n})=1

, then

\mathrm{m}-\mathrm{n}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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