Questions
The number of different matrices that can be formed with elements 0, 1 , 2 or 3, each matrix having 4 elements, is
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a
3 x 24
b
2x 44
c
3 x 44
d
none of these
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Correct option is C
A matrix having 4 elements can be of the order1 x 4 or 4 x 1 or, 2 x 2. Since each element can take 4 values viz0, 1, 2, 3.∴ Number of different matrices of order 1x 4 is equal to4×4×4×4=44Similarly, number of matrices of each order is 44.Hence, required number of matrices =44+44+44=3×44.Similar Questions
The number of ways in which we can get at least 6 successive tails when a coin is tossed 10 times in a row, is
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