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Binomial Theorem question

2022 · 27 Jun · Shift 1 · Q39
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  5. /2022 · 27 Jun · Shift 1 · Q39

Binomial Theorem question

2022 · 27 Jun · Shift 1 · Q39

JEE MainMathematicsBinomial TheoremNumerical+4 / −1
If the coefficient of x10 in the binomial expansion of (x514+5x13)60{\left( {{{\sqrt x } \over {{5^{{1 \over 4}}}}} + {{\sqrt 5 } \over {{x^{{1 \over 3}}}}}} \right)^{60}}(541​x​​+x31​5​​)60 is 5k . l{5^k}\,.\,l5k.l, where l, k ∈\in∈ N and l is co-prime to 5, then k is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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