Textbook Question
A club with 15 members is to choose four officers–president, vice president, secretary, and treasurer. In how many ways can these offices be filled?
668
views
10. Combinatorics & Probability
Combinatorics
Struggling with College Algebra?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
How many possible outcomes are there if you roll 5 dice?
A
720
B
7776
C
5
D
6
Verified step by step guidance1
Understand that each die has 6 faces, numbered from 1 to 6.
When rolling a single die, there are 6 possible outcomes.
Since the dice rolls are independent, the total number of outcomes for multiple dice is the product of the outcomes for each die.
For 5 dice, calculate the total number of outcomes by raising the number of outcomes for one die (6) to the power of the number of dice (5).
This can be expressed mathematically as: \( 6^5 \).
4:4mWatch next
Master Fundamental Counting Principle with a bite sized video explanation from Patrick
Start learningRelated Videos
Related Practice
