Paper 4: Fundamentals of Business Mathematics & Statistic
2.44 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Solution : If one boy takes his seat anywhere in a round tabl ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.45 Show that the number of ways in which 16 different books can be arra ...
2.46 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Total number of combinations : To find the total number of co ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.47 Example 77: There are seven candidates for a post. In how many ways c ...
2.48 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Case (iv) can be selected in^4 C 4 × 7 C 1 ways Hence the tot ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.49 Now,^7 C 5 = 7.6 = 42 ways. (ii) Here we have the following possible ...
2.50 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Out of 5 ladies and 3 gentlemen, a committee of 6 is to be s ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.51 2.7 SIMULTANEOUS LINEAR EQUATIONS Introduction : A linear equation of ...
2.52 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra SOLVED EXAMPLES Example 87 : Solve 4x + 2y – 15 = 5y – 3x + 1 ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.53 Example 89 : 2x^2 – 7x + 6 = 0 L.H.S. 2x^2 – 3x – 4x + 6 = x (2x – 3) ...
2.54 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Example 95 : Solve x 46 x 2 −− =x 2x+ +^2 Solution : Multiply ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.55 or, (u + 6) (u – 4) = 0 or, u = – 6, u = 4 For u = – 6, x^2 + 3x = – ...
2.56 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra 2.8 MATRICES AND DETERMINANTS 2.8.1. Matrix A set of mn numbe ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.57 SELF EXAMINATION QUESTIONS (1) Find A3x3 where aij 1 1 13 i^2 Ans. 2 ...
2.58 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Unit (or Identify) Matrix A diagonal matrix having each diag ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.59 Example If A example of a b c d = then kA ka kb kc kd = ...
2.60 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra Multiplication of two matrices The Product AB of two matrices ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.61 Properties of Matrix Multiplication (i) A(BC) = (AB) C (Associative l ...
2.62 I FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS Algebra SYMMETRIC MATRIX Any matrix A is called to be symmetric matri ...
FUNDAMENTALS OF BUSINESS MATHEMATICS AND STATISTICS I 2.63 B’ 0 2 3 2 0 4 3 4 0 = − − − 0 2 3 2 0 4 B 3 4 0 − = ...
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