Question

A company has 1550 employees. Explain why there must be at least two people with the same initials. Assume that each person's initials consist of two letters.

Answer 1

Answer:

All possible combinations for the initials are = 26 $\times$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 $\times$26 = 676

vi) therefore since 676 < 1550 therefore there must be at least two people with the same initials.