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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MathematicsBinomial TheoremProperties of Binomial coefficientsMedium2 minQB

MathematicsMediumsingle choice

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

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Answer:

Solution:

The given expression represents the number of ways to distribute 9 distinct objects into 10 distinct boxes such that no box is empty. By the principle of inclusion-exclusion, the answer is 0.

Final Answer: The final answer is $0$

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

⏱ 2mℹ️ Source: QB

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