1.Formulate a problem
The number of combinations of n things taken r at a time is written as C(n, r).
The following diagram shows the formula for combination. Scroll down the page for more examples and solutions on how to use the combination formula.
2.Solve the problem
Example:
In how many ways can a coach choose three swimmers from among five swimmers?
Solution:
There are 5 swimmers to be taken 3 at a time.
Using the formula:
C(n,r)= P(n,r) n!
-------- = -------
r! (n-r)!r!
C(5,3)=P(5,3) 5×4×3
------- = -------- =10
3! 3×2×1
3.The coach can choose the swimmers in 10 ways.
Step-by-step explanation:
pa brainleast please
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Answers & Comments
1.Formulate a problem
The number of combinations of n things taken r at a time is written as C(n, r).
The following diagram shows the formula for combination. Scroll down the page for more examples and solutions on how to use the combination formula.
2.Solve the problem
Example:
In how many ways can a coach choose three swimmers from among five swimmers?
Solution:
There are 5 swimmers to be taken 3 at a time.
Using the formula:
C(n,r)= P(n,r) n!
-------- = -------
r! (n-r)!r!
C(5,3)=P(5,3) 5×4×3
------- = -------- =10
3! 3×2×1
3.The coach can choose the swimmers in 10 ways.
Step-by-step explanation:
pa brainleast please