Question

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

Short answer

The resultant answer is 5040 .

Step-by-step solution

Given data

The given data is {a,b,c,d,e,f,g}

Concept of Permutation

A permutation of {a,b,c}is the listing of the three elements in the set in any order (without repeating any of the elements).

Find the permutations

Find the permutation:

$\begin{array}{r}\mathrm{P}(n,r)=\frac{n!}{(n-r)!}\\ \mathrm{P}(7,7)=\frac{7!}{(7-7)!}\\ =7!\\ =5040\end{array}$