4. Counting Techniques
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Is the order important?
Permutations or combinations? Combinations
Answer: 15
We want to find how many ways there are to select 2 out of 6 pizza toppings. Note that, in this case, the order is not important. Therefore, the situation involves combinations. To calculate the answer, we will use the formula for combinations of n objects taken r at a time.
n= 6, r= 2
Subtract term
Write as a product
Cancel out common factors
Write as a product
Multiply
Calculate quotient
There are 15 ways to select 2 out of 6 pizza toppings.