QJEEM22Maf53c: JEE Main 2022 Mathematics - Class 11 JEEM22Maf53c Solution: The number of matrices of order 3 × 3 , whose entries are…

In a $$3\times 3$$ order matrix there are $$9$$ entries.

These nine entries are zero or one.

The sum of positive prime entries are $$2,3,5$$ or $$7$$.

Total possible matrices $$=\frac{9!}{2!.7!}+\frac{9!}{3!.6!}+\frac{9!}{5!.4!}+\frac{9!}{7!.2!}$$

$$=34+84+126+36$$

$$=282$$