QJEEM22Ma3273: JEE Main 2022 Mathematics - Class 11 JEEM22Ma3273 Solution: Let A = { 1 , 2 , 3 , 4 , 5 , 6 , 7 } and B = { 3 , 6 , 7 , 9 } …

As C $$\cap$$ B $$\ne$$ $$\varphi$$, c must be not be formed by {1, 2, 4, 5}

$$\therefore$$ Number of subsets of A = 2⁷ = 128

and number of subsets formed by {1, 2, 4, 5} = 16

$$\therefore$$ Required no. of subsets = 2⁷ $$-$$ 2⁴ = 128 $$-$$ 16 = 112