A bookshelf contains 7 different Mathematics textbooks and 5 different Physics textbooks. How many groups of 3 Mathematics and 3 Physics textbooks can be selected ?

Out of 80 students who secured first class marks in Matchematics or in Physics , 50 obtained first class marks in Mathematics and 10 in both Physics and Mathematics. How many students secured first class marks in Physics only ?

Given that all mathematics textbooks are interesting, and suppose you are reading a mathematics textbook. What can we conclude about the textbook you are reading?

In a class, 22 students offered Mathematics, 18 students offered Chemistry and 24 students offered Physics. All of them have to offer at least one of these. 11 are in both Mathematics and Chemistry, 13 in Chemistry and Physics and 14 in Mathematics and Physics and 7 have offered all the three subjects. Find : how many students are there in the class ?

In a class, 22 students offered Mathematics, 18 students offered Chemistry and 24 students offered Physics. All of them have to offer at least one of these. 11 are in both Mathematics and Chemistry, 13 in Chemistry and Physics and 14 in Mathematics and Physics and 7 have offered all the three subjects. Find : how many students offered only Mathematics ?

In a school there are 20 teachers who teach Mathematics or Physics. Of these, 12 teach Mathematics and 4 teach Physics and Mathematics. How many teach Physics?

Out of a group of 20 teachers in a school, 10 teach Mathematics, 9 teach Physics and 7 teach Chemistry. 4 teachers both Mathematics and Physics but none teaches both Mathematics and Chemistry. What is the number of teachers who teach both Chemistry and Physics ?

In a school, there are 30 teachers who teach Mathematics or Physics. Of these, 18 teach Mathematics and 6 teach both Physics and Mathematics. How many teach Physics only?

In how many ways 5 different balls can be arranged into 3 different boxes so that no box remainns empty?

How many selections of 4 books can be made from 8 different-books ?

How many different selections of 6 books can be made from 11 different books, if (i) two particular books are always selected. (ii) two particular books are never selected?