How many 5-person committees can be formed out of a class of 16 students? In how many ways can a 5-person committee be chosen?
Added by Kimberly W.
Close
Step 1
This is a combination problem because the order in which the students are chosen for the committee does not matter. The formula for combinations is given by: $$C(n, k) = \binom{n}{k} = \frac{n!}{k!(n-k)!}$$ where $n$ is the total number of items to choose from, Show more…
Show all steps
Your feedback will help us improve your experience
Pritesh Ranjan and 74 other Algebra 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
How many 6-person committees can be formed out of a class of 21 students? In how many ways can a 6-person committee be chosen?
Pritesh R.
How many 5-person committees can be formed out of a class of 17 students?
Sri K.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD