Solution to Find the number of terms in the complete expansion of (x+y)^150 after like terms are … - Sikademy
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Archangel Macsika

Find the number of terms in the complete expansion of (x+y)^150 after like terms are collected together.

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After complete expansion of (x+y)^{150} we will get terms:


k_{0}x^{150}, k_{1}x^{149}y^1, k_{2}x^{148}y^2,..., k_{n}x^{150-n}y^{n},..., k_{149}x^{1}y^{149},k_{150}y^{150}


Total count of terms will be 151.

Due to formula of binomial theorem


k_{n}=\binom{150}{n}=\frac{150!}{n!(150-n)!}


n=0, 1, 2, ..., 150



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