Lec 05 Binomial theorem Mathematical Tools, 11th Physics NEET, IIT-JEE

Binomial Theorem: Lecture 11

In a class, 18 students took Physics, 23 students took Chemistry and 24 students took Mathematics of these 13 took both Chemistry and Mathematics, 12 took both Physics and Chemistry and 11 took both Physics and Mathematics. If 6 students offered all the three subjects, find: (i) The total number of students.

In a class, 18 students took Physics, 23 students took Chemistry and 24 students took Mathematics of these 13 took both Chemistry and Mathematics, 12 took both Physics and Chemistry and 11 took both Physics and Mathematics. If 6 students offered all the three subjects, find: (iii) How many took exactly one of the three subjects.

In a class, 18 students took Physics, 23 students took Chemistry and 24 students took Mathematics of these 13 took both Chemistry and Mathematics, 12 took both Physics and Chemistry and 11 took both Physics and Mathematics. If 6 students offered all the three subjects, find: (ii) How many took Maths but not Chemistry.

There are 11 teachers who teach Mathematics or Physics in a school, Of these, 7 teach Mathematics and 3 teach both Mathematics and Physics. How many teach Physics?

In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. The number of students who had taken only physics is :

In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. Consider the following statements : 1. The number of students who had taken only one subject is equal to the number of students who had taken only two subjects. 2. The number of students who had taken at least two subjects is four times the number of students who had taken all the three subjects. Which of the above statements is/are correct ?

JEE Mains 2020 - Revision | Binomial Theorem and its Applications - Revision + Questions | Maths

Using binomial theorem,expand (x+(1)/(y))^(11)