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  • Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.2 Question 21 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.2 Question 21 Maths Textbook Solution.

Answers (1)

Answer:

 \begin{bmatrix} 450\\ 180\\ 30\\ 30 \end{bmatrix}
Hint: Put a matrix for peons, clerks, typist, sector officers. Multiply with 30 for calculating all 30 colleges.
Given: There are 30 colleges. Each college has 15 peons, 6 clerks, 1 typist and 1 sector officer.
Solution:
No. of different types of posts in any college is given by:

X=\begin{bmatrix} 15\\ 6\\ 1\\ 1 \end{bmatrix}

Total no. of posts of each kind in all the colleges = 30X

=30\begin{bmatrix} 15\\ 6\\ 1\\ 1 \end{bmatrix}

=\begin{bmatrix} 450\\ 180\\ 30\\ 30 \end{bmatrix}

 

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