Answer: Option 'e' is correct.
Step-by-step explanation:
Since we have given that
Number of letters of the alphabet = 26
Number of letters in code :
One letter code, or two letter code, or three - letter code.
Since repetition of letters are allowed, then
if it is one letter code, the number of arrangement would be 26.
If it is two letter code, the number of arrangements would be
[tex]26\times 26\\\\=26^2\\\\=676[/tex]
If it is three letter code, the number of arrangements would be
[tex]26\times 26\times 26\\\\=26^3\\\\=17576[/tex]
So, Number of different stocks to uniquely designate with these codes would be
[tex]26+676+17576\\\\=18278[/tex]
Hence, Option 'e' is correct.
Answer:
e.18278
Step-by-step explanation:
We are given that a certain stock exchanges designates each stock with a one, two or three letter code, where each letter is selected from the 26 letters of the alphabet.
Total number of letters=26
If code is made from one letter
Then , total number of ways=26
If code is made from two letters and repetition is allowed
Then , total number of ways=[tex]26\times 26=676[/tex]
If code is made form three letter and repetition is allowed
Then, total number of ways=[tex]26\times 26\times 26=17576[/tex]
Total number of ways=26+676+17576=18278 ways
Hence, number of different stocks designated with these codes=18278.
Answer:e.18278
