Browse Teasers
Search Teasers

Logic puzzles require you to think. You will have to be logical in your reasoning.

 Puzzle ID: #18630 Fun: (2.13) Difficulty: (2.61) Category: Logic Submitted By: mad-ade Corrected By: lesternoronha1

Mad Ade was standing outside waiting as usual for the Sweaty Chef Kebab Shop to open and was staring into the shop window of the store next door. He noticed a chess set on display.
He wondered how many ways are there of arranging the sixteen black or white pieces of the chess set on the first two rows of the board?
Obviously, Mad Ade did not bother working it out as the Kebab shop opened almost immediately as he thought about it.

Given that each pawn is identical and each rook, knight and bishop is identical to its pair.

For 16 pieces that are all different the answer is 16! (!=factorial ie. 16x15x14...x1)

But, we have duplicate combinations because there are identical pieces being used. The number of duplicate combinations is =
2 (for Rooks) x 2 (for Knights) x 2(for Bishops) x 8! (for Pawns).
This gives 8x8! = 322560.

Dividing 16! by 322560 gives us the number of unique combinations for a normal chess set = 64864800 different ways.

Hide

## What Next?

See another brain teaser just like this one...

Or, just get a random brain teaser

If you become a registered user you can vote on this brain teaser, keep track of
which ones you have seen, and even make your own.

#### Users in Chat : Katherine24

Online Now: 13 users and 396 guests