# How many different permutations are there of the set {a, b, c, d, e, f, g}?

We will use the concept of permutation and combinations in order to find the number of arrangements.

## Answer: The different permutations for the given set {a, b, c, d, e, f, g} is 6!.

Let us see how we will use the concept of permutation and combinations in order to find the number of arrangements.

**Explanation:**

The given set that we have {a, b, c, d, e, f, g} has 6 different elements.

So let us take 6 different positions that are { 1, 2, 3, 4, 5, 6 }

At position 1 we can fit 6 elements, at position 2 we can fit 5 elements after we fix one element at position 1.

In a similar way, we can fix 4 elements at position 4 and so on.

Using the multiplication law of probability, the total number of possible permutations/arrangements = 6 × 5 × 4 × 3 × 2 × 1 = 6!