Question

Hank wants to create a 4 letter password using the letter from the word Friday if he cannot repeat the letters in each password how many possible passwords he can make

Answer 1

To find the number of possible passwords, we need to count the number of ways we can arrange the letters in the word 'Friday' without repetition. The number of passwords Hank can make is 360.

Step-by-step explanation:

To find the number of possible passwords, we need to count the number of ways we can arrange the letters in the word 'Friday' without repetition. Since these are distinct letters, we can use the formula for permutations.

A permutation is an arrangement of objects in a specific order. In this case, we have 6 letters (F, R, I, D, A, Y) and we want to arrange 4 of them in a password.

The formula for the number of permutations of n objects taken r at a time is given by:

nPr = n! / (n-r)!

Plug in the values, we have:

n = 6, r = 4

So, the number of passwords Hank can make is:

6P4 = 6! / (6-4)! = 6! / 2! = 6 x 5 x 4 x 3 = 360