in an examination paper there are 12 multiple choice questions each has 4 choices. find the number of ways of answering these 12 questions ?

In an examination paper there are 12 multiple choice questions, each has 4 choices. Find the number of ways of answering these 12 questions ? => 4 ..

Find 'a.c ', the product of the coefficient of x 2 and the last term. Find all the factor pairs of 12. (1,12), (3,4), (2,6) are the factor pairs of 12. The factor pair (3,4) is such that 3 + 4 = 7and 3 x 4..

The following are the steps to solve a system of linear equations using Cramer's rule. Step 1: Find the value of the determinant Step 2: If D 0, then the system has unique solution, given by Where D 1 , D 2 and D 3 are the determinants obtained from D by replacing respectively the first c..

Let us consider the sales done by a school canteen for two successive days. Monday 25 cokes 12 cakes Tuesday 40 cokes 7 cakes Each coke costs $ 5 and cake costs $ 10. The sales can be expressed as a 2 x 2 matrix and the price as a 2 x 1 matrix as given below: The amount collected for two ..

p(x) = x 3 -3x 2 +4x-12 is divided by x-3. R = p(3) = 3 3 - 3 x 3 2 + 4 x 3-12 = 27-27+12-12=0..

Let the fourth proportional to be x. 6:10=12:x 6x=120 (Product of extremes is equal to product of means) x=20 4) Find the mean proportional to 6 and ..

Let p(x) = x 3 +ax 2 +bx+12 when p(x) is x-2, R = p(2) = 2 3 +a(2) 2 +b(2)+12 = 8+4a+2b+12 = 20+4a+2b But x-2 is a factor, 20+4a+2b = 0 when p(x) is by x-3, R = p(3) = 27+9a+3b+12 = 39+9a+3b But x-3 is a factor, 39+9a+..

4. Sum the following: i) 1.2 + 2.4 + 3.8 +.... to n ter..

Matrices - Consider the arrangement In this arrangement, there are two rows and four columns. The number 3 lies in the 2 n d row and 4 t h column. Each number has a fixed position. Matrix A has 2 rows and 3 columns and is thus of order 2 x 3. Matrix B has 3 r..

Determine whether x-3 is a factor of x 3 -3x 2 +4x-12..