Question

1.The Greek alphabet has 24 letters, in how many ways can 3 different Greek letters be selected if order DOES matter?

2.The Greek alphabet has 24 letters, in how many ways can 3 different Greek letters be selected if order does NOT matter?

Answer 1

1)

When order matters,

Number of ways to select 3 letters from letters = ²⁴P₃

Where,

²⁴P₃ = 24! / (24-3)!

= 12144 ways.

2)

When order matters,

Number of ways to select 3 letters from letters = ²⁴C₃

Where,

²⁴C₃ = 24! / [ (24-3)! * 3! ]

= 2024 ways.