15 students (6 men and 9 women) are performing a musical. In another scene, a male lead, female lead, and a third lead of either gender are singing over a choir of 5. In how many ways can the roles in this scene be chosen?
Added by Richard N.
Step 1
There are 15 students (6 men and 9 women). The roles to fill are a male lead (must be male), a female lead (must be female), a third lead (either gender, distinct person), and a choir of 5 (an unordered group, distinct from the leads). Show more…
Show all steps
Close
Your feedback will help us improve your experience
Jerelyn Nevil and 50 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Three sophomores, 4 juniors, and 6 seniors apply for 5 positions on an Honor Council. If the council has at least 2 seniors, in how many different ways can the council be selected? A voice teacher selects 7 students from the class to sing for the trustees. The class has 9 men and 12 women. In how many ways can 7 students be selected and arranged in a row with 5 men in the middle and 1 woman on each end?
Adi S.
In a group of 15 students, 3 of them are female. If at least one female student is to be selected, in how many ways can students be chosen from the group to form a committee? How many different positions can they take up in the committee?
Hoan N.
[5] In a class of 7 female and 6 male students, a team consisting of 3 female and 2 male students is to be selected. How many different ways can the team be selected?
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD