4. Counting Techniques
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Is the order important?
Permutations or combinations? Permutations
Answer: 840
We want to find how many ways there are to choose 4 out of 7 different players. Note that, in this case, the order is important. Thus, each possible arrangement is a permutation. To calculate the answer, we will use the formula for permutations of n players taken r at a time.
n= 7, r= 4
Subtract term
Write as a product
Cancel out common factors
Multiply
Calculate quotient
There are 840 permutations.