4. Counting Techniques
Sign In
Is the order important?
Permutations or combinations? Combinations
Answer: 715
We want to find how many ways there are to select 4 out of 13 different colored balloons. Note that, in this case, the order is not important. Thus, the situation involves combinations. To calculate the answer, we will use the formula for combinations of n objects taken r at a time.
n= 13, r= 4
Subtract term
Write as a product
Cancel out common factors
Write as a product
Multiply
Calculate quotient
There are 715 ways to select 4 from 13 different colored balloons.