Number of all possible matrices of order 3 × 3 with each entry 0 or 1 - Ex 3.1

part 2 - Ex 3.1, 10 (MCQ) - Ex 3.1 - Serial order wise - Chapter 3 Class 12 Matrices

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Ex 3.1, 10 The number of all possible matrices of order 3 ร— 3 with each entry 0 or 1 is: (A) 27 (B) 18 (C) 81 (D) 512 Let A be the matrix of 3 ร— 3 i.e. [โ– 8(๐‘Ž_11&๐‘Ž_12&๐‘Ž_13@๐‘Ž_21&๐‘Ž_22&๐‘Ž_23@๐‘Ž_31&๐‘Ž_32&๐‘Ž_33 )]_(3 ร— 3) There are total 9 elements Each item can be filled in 2 ways (0 or 1) Hence, Number of matrices possible = 2 ร— 2 ร— 2 โ€ฆโ€ฆ. ร— 2 = 29 = 512 So, D is the correct answer

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