Question

Combinatorics

How many different words of 8 letters (meaningful or meaningless) can you make out of 30 letters? ​

Answer 1

235989936000

Explanation:

To form 8 letter words from 30 letters

Using permutation :

nPr = n! ÷ (n-r)!

30P8 = 30! ÷ (30-8)!

30P8 = 30! ÷ 22!

30P8 = (30*29*28*27*26*25*24*23)

30P8 = 235989936000 words