Let A be a matrix of order , whose entries are from the set . If the sum of all the entries of A is a prime number , , then the number of such matrices A is ______.
← JEE Main 2022 · 27 Jun · Shift 2
MathematicsInteger+4 / -1Question 23 of 90
JEE Main 2022 · 27 Jun · Shift 2, Mathematics question 23
Answer and worked solution
Official answer: 180
Count 4-tuples from with sum 3, 5 or 7 (by stars and bars with the cap 5): .
Answer: 180