Question

How many matrices can be obtained by using one or more numbers from four given numbers

• A. $76$
• B. $148$
• C. $124$
• D. $Noneofthese$

Answer 1

Answer: (B)

$148$

If the order of matrix=$1\times 1$

Number of matrix formed$=4$

if the order of matrix=$1\times 1$ or $2\times 1$

Number of matrix formed$=12+12=24$

If the order of matrix=$1\times 3$ or $3\times 1$

Number of matrix formed$=24+24=48$

If the order of matrix=$1\times 4$ or $4\times 1$ or $2\times 2$

Number of matrix formed$=$24+24+24=72$

Total number of matrix=$4+24+48+72=148$