(Q). In a class of 12 students 7 are boy & rest are girls. In how many ways students can be selected for the project such that at least 1 boy & 1 girl is selected.Solution:-Nuber of ways of selecting one or more boys is (2⁷ – 1) = 127 waysNumber of ways...
(Q). A class has 10 students 7 are boys and 3 are girls. In how many ways students can be selected for a project.Solution:-Every student (either boy or girl) has 2 ways of selection → either selected or rejected.∴ students can be selected in 2⁷×2³ = 2¹⁰ = 1024...
(Q). How many factors of 1800 other than 1800 are 4 digit number?Solution:-1800 = 2³×3²×5²So except 1800 itself other largest factor is = = 900 → three digitsHence number of four digit factors = 0 ...
(Q). In an exam a question paper has 10 questions. What is the total number of ways that a student can answer this paper?Solution:-Each question has two ways to answer it either answered or unanswered∴ total number of ways to attempt question paper = 2¹⁰ = 1024...
(Q). In an examination the question paper has three sections namely physics, chemistry & Biology containing 5, 6 & 7 questions respectively. As per the rule a student has to answer minimum 3 questions from each section. In how many ways a student can attempt...
(Q). A committee of 12 students has to be selected from 18 students 6 from each management, sales & finance such that at least 2 student must be selected from each management, sales & finance and number of students from management is more than the number of...
(Q). Consider a set x = {1, 2, 3, …….., 9, 10}. What is the number of pair {A, B} such that A ⊆ x and B ⊆ x also A ≠ B and A ∩ B = {2, 3, 5, 7}. Solution:- Since it is given that A ∩ B = {2, 3, 5, 7}, so remaining numbers {1, 4, 6, 8, 9, 10} have three...
(Q). In a dance competition, there are 10 participants. In each performance exactly two dancers will perform. Mr. Abhishek, a fan of this show has decided to see exactly 10 dance iperformance. In how many ways he can select the performance?Solution:- Total number of...
(Q). In the annual function of a school 10 boys & 20 girls danced such that in a particular dance only 1 boy & 1 girl participated. Total how many dance was performed?Solution:- In a dance we have to select one boy out of 10 boys in ¹⁰C₁ = 10 ways, and one...
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