Consider the construction of a string of characters which is C characters in length, by randomly selecting from an N-character alphabet (selecting randomly with replacement).

If the probability that all characters are distinct equals the probability that exactly one character appears twice but all the other characters appear just once, then what is the number of characters in the alphabet?

Find N in terms of C.

Metagame: Set and Match | Rating: 3.00
Posted on 2020-10-27 by Charlie (Solution Posted, 6 Comments)

The King Shows Some Mercy | Rating: 3.00
Posted on 2020-10-19 by Charlie (Solution Posted, 4 Comments)

Two Pill Bottles |
Posted on 2020-08-19 by Charlie (Solution Posted, 6 Comments)

Luck beats theory |
Posted on 2020-05-04 by Ady TZIDON (No Solution Yet, 3 Comments)

The Celebrated Jumping Frog of Perplexus County |
Posted on 2020-03-04 by Larry (No Solution Yet, 2 Comments)

The middle number | Rating: 4.00
Posted on 2019-10-08 by Danish Ahmed Khan (No Solution Yet, 5 Comments)

Order in triangular array | Rating: 3.00
Posted on 2019-08-27 by Danish Ahmed Khan (No Solution Yet, 1 Comments)