Answer:
All possible combinations for the initials are = 26 [tex]\times[/tex]26 = 676
Therefore since 676 < 1550 therefore there must be at least two people with the same initials.
Step-by-step explanation:
i) there are 26 letters in the alphabet
ii) there are two letters in each person's initials
iii) there are 26 possible ways of selecting the first initial
iv) there are 26 possible ways of selecting the second initial
v) therefore all possible combinations for the initials are = 26 [tex]\times[/tex]26 = 676
vi) therefore since 676 < 1550 therefore there must be at least two people with the same initials.