Combinations or something

This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 24
Joined: Thu Jul 15, 2010 9:45 am
Thanked: 1 times

Combinations or something

by rnaah » Wed Oct 05, 2011 12:44 am
Each item in a supermarket is coded with either a 5-letter code or a 4-letter code from the 26 alphabets. What is the maximum number of items in the supermarket that can be coded with these numbers?
Source: — Problem Solving |

User avatar
Master | Next Rank: 500 Posts
Posts: 496
Joined: Tue Jun 07, 2011 5:34 am
Thanked: 38 times
Followed by:1 members

by sl750 » Wed Oct 05, 2011 12:55 am
Assuming repetition is allowed

Using 5 letter code, we have 26*26*26*26*26 = 26^5
Using 4 letter code, we have 26^4

Total number of products coded = 26^4(27)