# What is the formula to find the number of permutations

What is the formula to find the number of permutations to 4 sets of 6 numbers?
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torpa6d
To find the possible ways to select four objects out a group of six, when order is important, you calculate
$P\left(6,4\right)=\frac{6!}{2!}=360$
Step 1
There is a variety of ways in which permutations are expressed. Here I am using P(n, r) to mean the number of permutations of r objects selected from a group of n objects.
In general, permutations imply that it is important to note the order in which the selections are made. An example would be when people are to be selected from a class of students, with the first selection to be president, the next, vice-president and so on.
Step 2
The number of permutations of r objects selected from n is found by $P\left(n,r\right)=\frac{n!}{n-r!}$
$P\left(6,4\right)=\frac{6!}{6-4!}=\frac{720}{2}=360$