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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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