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The sixth term in the expansion of $(x^{1 / 3} + {y^{1 / 2})}^{n}$ if the binomial coefficient of the third term form the end is 45, is

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252x5/3y5/2

45x5/3y5/2

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Correct option is A

Binomial coefficients of the third term from the end in the expansion of x1/3+y1/2n, is nC2=45⇒n(n−1)−90=0⇒n=10∴ Sixth term in the expansion of x1/3+y1/2n is nC5x1/3n−5y1/25=252x5/3y5/2

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The sixth term in the expansion of x1/3+y1/2n if the binomial coefficient of the third term form the end is 45, is

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The sixth term in the expansion of $(x^{1 / 3} + {y^{1 / 2})}^{n}$ if the binomial coefficient of the third term form the end is 45, is