Permutations And Combinations

Question

A Sixth form contains the Head Boy, the Head Girl and 8 other students. The form is asked to send a group of 4 representatives to a conference. Calculate the number of different ways in which the group can be formed if it must contain

 

(i) both the Head Boy and the Head Girl

 

(ii) either the Head Boy or the Head Girl, but not both.

Answer 1

I am going to challenge you to show some work to us tutors.  I suggest that you send that in, as a comment, and then ask tutors to help. But you should start the work--because you need to practice analyzing, proposing, and testing solutions. That's the best way to learn, profoundly/