Let A= 1,2,3,4,5,6,7,8,9,10 . Then the number of subsets of A containing two or three elements is

Step-by-step solution

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 Number of sub sets Containing 2 and 3 elements is aligned & 10_ c₂ +10_ c₃ & 10_ c₂ +10_ c₃ = ( 10 9 2 )+ ( 10 9 8 3 2 ) aligned =45+120=165