Question: User IDs on an old computer system consist of 4 letter sequences from the first 8 letters of the English alphabet: a, b, c,

User IDs on an old computer system consist of 4 letter sequences

User IDs on an old computer system consist of 4 letter sequences from the first 8 letters of the English alphabet: a, b, c, d, e, f, g, h. Note that the same letter can be used any number of times in the 4 letter sequence. When a new user first registers, an ID is randomly generated (all outcomes equally likely) with the only condition that it is different from the IDs of all previously registered users. (a) How many different IDs are possible for the first registered user? (b) How many different IDs are possible for the second registered user? (c) Jack, Kate and Sam are the only three users of this system. In how many different possible ways can they be assigned IDs?

Step by Step Solution

3.49 Rating (152 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To solve this problem well tackle each part separately a How many different IDs are possible for the ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!