215k views
5 votes
Assume that there are 300 million people in the US who have a first, middle 1 point

and last name. How many different three letter combinations are there? *
O 26
O 676
O 15,600
O 17,576

User Knrz
by
6.0k points

1 Answer

2 votes

Answer:

15600 ways

Explanation:

In this case what we must is to calculate the number of permutations since the order does matter, we know that the alphabet has a total of 26 letters and are 3 names, the first, the middle and the last.

n = 26 and r = 3

nPc = n! / (n-r)! = 26! / (26-3)!

nPc = 15600

that is to say that there are a total of 15600 ways to form these names

User Boyan Bozhidarov
by
6.4k points