Question

in how many ways can a student choose 7 subject s out of 10 subjects if three subjects are compulsory​

Answer 1

Answer:There are 9 courses available out of which, 2 specific courses are compulsory for every student.

Therefore, every student has to choose 3 courses out of the remaining 7 courses.

This can be chosen in

7

C

3

ways.

Thus, the required number of ways of choosing the programme

⇒

7

C

3

=

3!4!

7!

=

3×2×1

7×6×5

=35

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