CUET PG 2021 — Mathematics PYQ

1. Set ke elements ko identify karein:

   Aapka set hai: $S=\{\varnothing ,\{\Phi \},1,\{2,3\}\}$

   • Pehla element: $\varnothing$ (Empty set)

   • Doosra element: $\{\Phi \}$ (A set containing Phi)

   • Teesra element: $1$ (Number 1)

   • Chautha element: $\{2,3\}$ (A set containing 2 and 3)

2. Elements ki count ($n$):

   Yahan total elements hain:

   $$n=4$$

3. Power set mein elements ki sankhya:

   Formula apply karne par:

   $$\text{Number of elements in }P(S)=2^n$$
   $$2^4=2\times 2\times 2\times 2$$
   $$16$$

Answer: The number of elements in the power set $P(S)$ is 16.