What is the formula to find the number of permutations to 4 sets of 6 numbers?

letumsnemesislh
2022-07-16
Answered

What is the formula to find the number of permutations to 4 sets of 6 numbers?

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torpa6d

Answered 2022-07-17
Author has **7** answers

Answer:

To find the possible ways to select four objects out a group of six, when order is important, you calculate

$P(6,4)=\frac{6!}{2!}=360$

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 $P(n,r)=\frac{n!}{n-r!}$

$P(6,4)=\frac{6!}{6-4!}=\frac{720}{2}=360$

To find the possible ways to select four objects out a group of six, when order is important, you calculate

$P(6,4)=\frac{6!}{2!}=360$

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 $P(n,r)=\frac{n!}{n-r!}$

$P(6,4)=\frac{6!}{6-4!}=\frac{720}{2}=360$

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