In how many ways can 5 subjects be chosen from 9 subjects if three subjects are compulsory?

In how many ways can a students choose 5 courses out of 9 courses if 2 courses are compulsory for every students?

In how many ways can 4 subjects be chosen by two students so that each student should take at least one subject ?

From a class of 40 students, in how many ways can five students be chosen (ii) As subject monitor (one from each subject)

In how many ways can a student of XI choose 5 subjects out of 9 available subjects if two subjects, English (core) and Hindi (core) are compulsory.

In how many ways can a student choose 5 courses out of 9 if 2 courses are compulsory ?

In how many ways can a student of XI class choose 5 subjects out of 9 available subjects if two subjects, English (core) and Hindi (core) are compulsory .

There are six periods in each working day of the school. In how many ways can one arrange 5 subjects such that each subject is allowed at least one period?