Question
Download Solution PDFHow many distinct matrices exist with all four entries taken from (1, 2)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Here we have to fill 4 entries it means we can form 2 × 2 matrices, 4 × 1 and 1 × 4 matrices
In 2 × 2 matrices, there are four places
And each place has two ways to fill (1, 2)
So, The total number of ways to fill the entries = 2 × 2 × 2 × 2 = 16.
In 4 × 1 matrices, there are four places
And each place has two ways to fill (1, 2)
So, The total number of ways to fill the entries = 2 × 2 × 2 × 2 = 16.
Similarly in case of 1 × 4 matrices total number of ways = 16.
∴ Total number of matrices will be 48.
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