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NDA 2024
Exam
NDA
Year
2024
Subject
Mathematics
Chapter
Matrices

NDA 2024 · Mathematics · Matrices

What is the number of different matrices, each having 4 entries...

What is the number of different matrices, each having 4 entries that can be formed using 1,2,31,2,3, 4 (repetition is allowed)?

Options

  1. A72
  2. B216
  3. C254
  4. D768

Correct answer

D. 768

Step-by-step solution

Possible order of 4 entries matrices 1×41 \times 4, 2×2,4×1∴2 \times 2,4 \times 1\therefore Total number of matrices =4×4×4×4×3=768\begin{aligned} & =4 \times 4 \times 4 \times 4 \times 3 \\ & =768 \end{aligned}
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