math steps teachers answers book

Question: From 12 books, in how many ways can 5 be chosen i. to surely include a particular book ii. never to include a particular book iii. to have no restrictions at all? Answer: i. To include a particular book, one particular boo..

Question: For the post of 5 teachers, there are 23 applicants. 2 posts are reserved for S.C. candidates and there are 7 S.C. candidates among applicants. In how many ways can the selection be made? Answer: There are 23 applicants. Among this, 7 are S.C. candidates. W..

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 resp..

A teacher had a stack of notebooks. If there were 25 books in the stack and the teacher distributed them evenly among five of her favorite students, then how many books would each student get? => 3 or 10 or 5 or 8..

Express the differential equation in the form f(x) dx = g(y) d..

Take the maximum and minimum values of f out of the values calculated in step 3. These will be the absolute maximum or absolute minimum value..

If (x 1 , y 1 ) is the point found in step 4, then x = x 1 , y = y 1 , is the optimal solution of the LPP and Z = ax 1 + by 1 is the optimal value. The above method of solving an LPP is more clear with the following exampl..

Form the combination (x 1 , x 2 , x 3 ) for the rows identified in step 1. Put x i if x i = 1 x i if x i = 0 For the 1 s t row, the expression is x 1 .x 2 .x 3 2 n d row, the expression is x 1 .x 2 .x 3 ' 3 r d row, the expression is x 1 , x 2 '.x 3 Last row, the expression i..