Question

Stocks on the NASDAQ Companies whose stocks are listed on the NASDAQ stock exchange have their company name represented by either 4 or 5 letters (repetition of letters is allowed). What is the maximum number of companies that can be listed on the NASDAQ?

Short answer

The maximum number of companies that can be listed on the NASDAQ is 12338352.

Step-by-step solution

Step 1. Given information.

Company name represented by either 4 or 5 letters

Repetition of letters is allowed.

Step 2. Determine the maximum number of companies.

Total number of letters from A to Z is 26. So, the number of choices for each letter is 26.

Possible names of 4 letters is:

$26·26·26·26=456976$

Possible names of 5 letters is:

$26·26·26·26·26=11881376$

Total names represented by either 4 or 5 letters are:

$456976+11881376=12338352$

Step 3. Conclusion.

The maximum number of companies that can be listed on the NASDAQ is 12338352.