find the number of all possible matrices of order 2*3 with each entry 0 or 1

the order of the matrix = 2*3

the number of elements = 2*3=6

each place can have either 0 or 1.

each place can be filled in 2 ways.

thus the number of possible matrices =

hope this helps you.

  • 89

 Total no. of possible orders=2n

for 2*3order matrix =26

=2*2*2*2*2*2=64

  • 15

only one matrix is possible

  • -13

okk i come to know that the possible orders is given by 2n but what about posssible matrix

  • 3

other way to look is

[a  b  c]

[c d  e]

this is a 2x3 ordered matrix

now you have 2 choices 0 and 1 thus,

so, a can be filled in 2 ways (0 or 1) , similarly, b,c,d,e and f can be filled in 2 ways...

thus, total no. of ways = total no of matrices possible = 2 x 2 x 2 x 2 x 2 x 2 = 64

  • 11
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