Answer:
a) 676, 1296
b) 17576, 46656
c) 456976, 1679616
Step-by-step explanation:
firstly we know that there are 26 letters in the alphabet.
there are 26 ways of choosing the first character and 26 ways choosing the second character,
Therefore, the possible number of domains with two leeter is;
n = 26²
= 26 × 26
= 676
now when the digits are allowed, there are 26 + 10 = 36 characters to be used in total
therefore the possible number of domains with two characters is;
n = 36²
= 36 × 36
= 1296
b)
there are 26 ways of choosing each character
therefore, the possible number of domains with three letters is
n = 26³
= 26 × 26 × 26
= 17576
when the digits are allowed, there are 26 + 10 = 36 characters to be used in total
therefore , the possible number of domains with three characters is;
n = 36³
= 36 × 36 × 36
= 46656
c)
there are 26 ways of choosing each character, therefore the possible number of domains with four letters is;
n = 26⁴
n = 26 × 26 × 26 × 26
n = 456976
when the digits are allowed, there are 26 + 10 = 36 characters to be used in total
therefore, the possible number of domains with four characters is;
n = 36⁴
n = 36 × 36 × 36 × 36
= 1679616
