JEE Main 2022 · 29 Jul · Shift 1 · Mathematics Q26

MathematicsInteger+4 / -1Question 26 of 90

The number of matrices of order 3 × 3, whose entries are either 0 or 1 and the sum of all the entries is a prime number, is _______.

Your answer

Answer and worked solution

Official answer: 282

Choose which entries are 1, with a prime count: $\binom92+\binom93+\binom95+\binom97=36+84+126+36=282$ .

Answer: 282

JEE Main 2022 · 29 Jul · Shift 1, Mathematics question 26