Question

For a given matrix Ri denotes sum of all entries in its ith row and Cj denote sum of all entries in its jth column. How many non negative 3×3 matrix are there such that C1=C2=R1=R2=2 and C3=R3=1
A) 13
B)11
C) 14
D)12​

Answer 1

Answer:

11

Step-by-step explanation:

Sub matrix 2X2 of elements(2,2,0,0) => 2 matrices

Sub matrix 2X2 of elements(1,1,1,0) => 4 matrices

Sub matrix 2X2 of elements(2,1,0,0)=> 4 Matrices

Sub matrix 2X2 of elements(1,1,1,1) => 1 matrix

total = 11 Matrices