1.

Let A and B be two sets containing 2 elements and 4elements respectively. The number of subsets of `AxxB`having 3 ormore elements is(1) 220 (2)219(3) 211 (4)256

Answer» total elements =`2 xx4 = 8`
total subsets= `2^8`
subset having 0 elements= `.^8c_0`
subset having 1 element=`.^8c_1`
subset having 2 element`= .^8c_2`
`n(A XXB)= 2^8 - .^8c_0 - .^8c_1 - .^8c_2`
`= 2^8- [1 + 8 + (8 xx7)/2]`
`= 2^8 -[9+28]`
`= 2^8- 37`
`= 256-37= 219`
option 2 is correct


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