(Solved): 13. A class of 25 students consists of 15 girls and 10 boys. A committee of five students is being ...

13. A class of 25 students consists of 15 girls and 10 boys. A committee of five students is being chosen from this class to plan a school event. Determine the number of 5 student committees that can be formed if: a. the five students are chosen at random (1 mark) b. the committee must consist of 3 girls and 2 boys (1 mark) c. the committee must have 4 boys (1 mark) d. the committee must have 1 or 2 girls. (1 mark) e. Sam and Jordan must be on the committee, and the remaining students are randomly selected. (1 mark) f. there must be at least one boy on the committee (1 mark)