Respuesta :
Answer:
83330 Companies
Step-by-step explanation:
The answer is
26C3 + 26C4 + 26C5
= 2600 + 14950 + 65780
= 83330
The maximum number of companies that can be listed on the stock exchange is;
Maximum companies names = 12,355,928 companies
In alphabets in English language we know that there are a total of 26
alphabets.
- Now, to have a company name represented by three letters with repetition allowed means;
number of companies that can be listed = 26 × 26 × 26 = 17576
- To have a company name represented by four letters with repetition allowed means;
number of companies that can be listed = 26 × 26 × 26 × 26 = 456976
- To have a company name represented by five letters with repetition allowed means;
number of companies that can be listed = 26 × 26 × 26 × 26 × 26 = 11881376
- Thus, maximum number of companies that can be listed on the stock exchange = 17576 + 456976 + 11881376 = 12,355,928 companies
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