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Question: A sportsteam of 11 students is to be constituted choosing at least 5 from class XI and 5 at least from XII. If there are 20 students in each of these classes, in how many ways can the team be constituted? Answer: Number of students in each class is 20. T..

Question: At an election, three wards of a town are canvassed by 4, 5 and 8 men respectively. If 20 men volunteer, in how many ways can they be allotted to the different wards? Answer: Let the three wards be labelled as A, B and C respectively. Let us select 4 men fo..

Question: Find n if P(n,4) = 20P(n,2) Answer: ..

\ A + B = B + A \ A + B = B ..

Let R i denotes the i t h row of the matrix A = [a i j ] then the elementary row operations on the matrix A are defined as: 3. R i g R i + kR j means multiply each element of j t h row by k and add it to the corresponding elements of i t h row. The corresponding column transformatio..

A rectangular array of entries is called a Matrix. The entries may be real, complex or functions. The entries are also called as the elements of the matrix. The rectangular array of entries are enclosed in an ordinary bracket or in square bracket. Matrices are denoted by capital lette..

A set of numbers arranged in a definite order according to some definite rule is called a sequenc..

From the definition, it is clear that if B is the inverse of A, then A is the inverse of ..

Introduction - A set of numbers arranged in a definite order according to some definite rule is called a sequence . Sequences have wide applications. For example, the amount of money in a fixed deposit in a bank, over a number of years increases in a sequenc..

i. In a combination, only selection is made. In a permutation, not only a selection is made, but also there is an arrangement of a definite order. ii. There is no order of selection in combinations. In permutation, order is a must. iii. Usually (i.e., except in special cases or trivial c..