1.

Let A={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Then the number of subsets of A containing two or three elements isA. 45B. 120C. 165D. 330

Answer» Correct Answer - C
Given, A{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Set A has 10 elements.
Number of sub sets Containing 2 and 3 elements is
`10_(c_(2))+10_(c_(3))`
`10_(c_(2))+10_(c_(3))=(10xx9)/(2)+(10xx9xx8)/(3xx2)`
`=45+120=165`


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