The value of the expression 10 C 0 109-10 C 1 99-10 C 2 89- -10 C 9 isA- - 9B- - 10C- 9 - 10D- 0

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Standard XI

Mathematics

Cardinality of Sets

The value of ...

Question

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

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Solution

The correct option is D
Given expression = No.of on to functions from a set of 9 elements to a set of 10 elements = 0

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The value of the expression 10C0109−10C199+10C289.......−10C9 is

The correct option is D Given expression = No.of on to functions from a set of 9 elements to a set of 10 elements = 0

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

The correct option is D
Given expression = No.of on to functions from a set of 9 elements to a set of 10 elements = 0