Let A be the set of all 3 x 3 matrices all of whoseentries  are either  O or 1. The number of elements is set A, is

# Let A be the set of all 3 x 3 matrices all of whoseentries  are either  O or 1. The number of elements is set A, is

1. A

${2}^{3}$

2. B

${2}^{6}$

3. C

18

4. D

${2}^{9}$

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### Solution:

There are 9 elements in a 3 x 3  matrix and

each ~I can take two values. So, total number

of matrices having  0 and 1 as their elements is ${2}^{9}$

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