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Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremProperties of Binomial coefficientsMedium2 minQB

MathematicsMediumsingle choice

The value of the expression $^{10} C_{0} 1 0^{9} -^{10} C_{1} 9^{9} +^{10} C_{2} 8^{9}$ \_\_\_\_ $-^{10} C_{9}$ is

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Solution:

Given expression $= \sum_{k = 0}^{10} (- 1)^{k}^{10} C_{k} (10 - k)^{9}$ = No. of onto functions from a set of 9 elements to a set of 10 elements $= 0$ (since a 9-element set cannot map onto a 10-element set)

Stream:JEESubject:MathematicsTopic:Binomial TheoremSubtopic:Properties of Binomial coefficients

⏱ 2mℹ️ Source: QB

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