Question

The number of different matrices that can be formed with elements 0,1,2 or 3, each matrix having 4 elements, is

• A. $3\times 2^4$
• B. $2\times 4^4$
• C. $3\times 4^4$
• D. none of these

Answer 1

Answer: (C)

$3\times 4^4$

There can be 3 types of such matrices such as $1\times 4,2\times 2,4\times 1$
and in every such matrix,there are four elements each element in the matrix is independent and has 4 different choices
$\therefore$ The number of different matrices that can be formed =$3\times 4^4$