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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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