Arts (English Medium) कक्षा ११ - CBSE Question Bank Solutions for Mathematics

State which of the following statement is True or False.

If xy > 0, then x < 0 and y < 0

Graph of x < 3 is

Graph of x ≥ 0 is

Graph of y ≤ 0 is

Solution set of x + y ≥ 0 is

A student has to answer 10 questions, choosing atleast 4 from each of Parts A and B. If there are 6 questions in Part A and 7 in Part B, in how many ways can the student choose 10 questions?

In a small village, there are 87 families, of which 52 families have atmost 2 children. In a rural development programme 20 families are to be chosen for assistance, of which atleast 18 families must have at most 2 children. In how many ways can the choice be made?

A boy has 3 library tickets and 8 books of his interest in the library. Of these 8, he does not want to borrow Mathematics Part II, unless Mathematics Part I is also borrowed. In how many ways can he choose the three books to be borrowed?

In how many ways a committee consisting of 3 men and 2 women, can be chosen from 7 men and 5 women?

All the letters of the word ‘EAMCOT’ are arranged in different possible ways. The number of such arrangements in which no two vowels are adjacent to each other is ______.

The straight lines l₁, l₂ and l₃ are parallel and lie in the same plane. A total numbers of m points are taken on l1; n points on l₂, k points on l₃. The maximum number of triangles formed with vertices at these points are ______.

We wish to select 6 persons from 8, but if the person A is chosen, then B must be chosen. In how many ways can selections be made?

How many committee of five persons with a chairperson can be selected from 12 persons.

A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected from the lot.

There are 10 lamps in a hall. Each one of them can be switched on independently. Find the number of ways in which the hall can be illuminated.

A box contains two white, three black and four red balls. In how many ways can three balls be drawn from the box, if atleast one black ball is to be included in the draw

If ⁿC_{r – 1} = 36, ⁿC_r = 84 and ⁿC_{r + 1} = 126, then find ^rC₂.

If 20 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, in how many points will they intersect each other?

In an examination, a student has to answer 4 questions out of 5 questions; questions 1 and 2 are however compulsory. Determine the number of ways in which the student can make the choice.

A convex polygon has 44 diagonals. Find the number of its sides.