QJEEM24Maa93b: JEE Main 2024 Mathematics - Class 11 JEEM24Maa93b Solution: Let A = { 1 , 2 , 3 , … , 7 } and let P ( A ) denote the power…

$$\begin{array}{rl}& f:A\to P(A)\\ & a\in f(a)\end{array}$$

That means '$$a$$' will connect with subset which contain element '$$a$$'.

Total options for 1 will be $$2^6$$. (Because $$2^6$$ subsets contains 1)

Similarly, for every other element

Hence, total is $$2^6\times 2^6\times 2^6\times 2^6\times 2^6\times 2^6\times 2^6=2^{42}$$

Ans. $$2+42=44$$