# Category Archives: Class 11

Question 17. How many three-digit numbers are there? Solution: Ways of selecting 100th place = 9P1 = 9 (Selecting from all digits except 0) Ways… Read More
Question 1.  In a class, there are 27 boys and 14 girls. The teacher wants to select 1 boy and 1 girl to represent the… Read More
Question 1. In how many ways can the letters of the word ‘FAILURE’ be arranged so that the consonants may occupy only odd positions? Solution:… Read More
Question 1. Evaluate  Solution: Question 2. Evaluate  Solution: Question 3. Evaluate  Solution: Question 4. Evaluate  Solution:  Question 5. Evaluate  Solution: Question 6. Evaluate  Solution: Question… Read More
Find the principal and general solutions of the following equations: Question 1. tan x = √3 Solution: Given: tan x = √3 Here, x lies… Read More
Question 1. Evaluate  Solution:  = 2(-5) – 1 = -10  – 1  = -11 Question 2. Evaluate  Solution: Question 3. Evaluate  Solution: = (3)2 +… Read More
An ordered list of numbers is called sequences. Each number is the sequence is called a term. The sequence usually has patterns that allow us… Read More
Question 1. Which of the following cannot be a valid assignment of probabilities for outcomes of sample Space S = {ω1, ω2, ω3, ω4, ω5, ω6,… Read More
Question 1. If f(x)=x2-3x+4, then find the values of x satisfying the equation f(x)=f(2x+1). Solution: We have,  f(x)=x2-3x+4  Now, f(2x+1)=(2x+1)2-3(2x+1)+4 f(2x+1)=4x2+1+4x-6x-3+4 f(2x+1)=4x2-2x+2 It is given… Read More
Question 11. Solve each of the following system of equations in R: 4x – 1 ≤ 0, 3 – 4x < 0 Solution: Let the… Read More
Question 12. Let A = {x, y, z} and B = {a, b}. Find the total number of relations from A into B. Solution: The… Read More
Question 1. Solve each of the following system of equations in R: x + 3 > 0, 2x < 14 Solution: Let the first equation… Read More
Question 1. Compute: (i) 30!/28! (ii) (11! – 10!)/9! (iii) L.C.M. (6!, 7!, 8!) Solution: (i) 30!/28! We know that, n! = n(n-1)! Therefore, 30!… Read More
Question 1: A box contains 10 red marbles, 20 blue marbles, and 30 green marbles. 5 marbles are drawn from the box, what is the… Read More
Question 1. Evaluate each of the following: (i) 8P3 (ii) 10P4 (iii) 6P6 (iv) P (6, 4) Solution: (i) 8P3 As we know that, 8P3… Read More