JEE MAIN - Mathematics Bengali (2022 - 25th June Evening Shift - No. 7)
$${\left( {5 + x} \right)^{500}} + x{\left( {5 + x} \right)^{499}} + {x^2}{\left( {5 + x} \right)^{498}} + ..... + {x^{500}},x > 0$$, এই রাশিমালাতে $${x^{101}}$$ এর সহগ কত ?
$${}^{501}{C_{101}}^{{{\left( 5 \right)}^{399}}}$$
$${}^{501}{C_{101}}^{{{\left( 5 \right)}^{400}}}$$
$${}^{501}{C_{100}}^{{{\left( 5 \right)}^{400}}}$$
$${}^{501}{C_{101}}^{{{\left( 5 \right)}^{399}}}$$
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