Question

IN how many different ways can the 16 chess pieces be arranged on one side of a chessboard for the start of a game of chess? for example, the two rocks can switch places and any two of the eight pawns can be swapped and still leave the standard starting position?

Answer 1

*rooks

Answer 2

\[\frac{16!}{8!2!2!2!}\] if i am not mistaken

Answer 3

reasoning that you cannot tell the 8 pawns apart, the 2 rooks, 2 knights and 2 bishops apart.

Answer 4

You can tell the 8 pawns apart

Answer 5

this

for example, the two rocks can switch places and any two of the eight pawns can be swapped and STILL leave the standard starting position

is telling you that you cannot

Answer 6

There is no choice regarding the queen and king; thus each has only one square on which to be paced. the rocks, the knights and the bishops can each be positioned in two ways, gibing a total of\[2^{3}\] = 8 different combinations. the eight pawns can be positioned in * = $4,320 ways! = 322,560 Possibilities

Answer 7

Just checked my answer and i was correct :)

Answer 8

i must have misunderstood the question. i thought it was asking

in how many different ways can the 16 chess pieces be arranged on one side of a chessboard for the start of a game of chess?

without the stipulation that it was the standard way to arrange them. strange wording.

Answer 9

btw $ is a type-o

Answer 10

Yea i thought so my self ^-^ anyway ck to geometry ill ask more of theses good questions later tonight :)

Answer 11

if you'd like i can ask some from last night if you want to work out your brain :P just on here though don't want distract every onexD

Answer 12

A selection of eight cards is dealt with every second card being returned to the bottom of the pack. thus the top card goes to the table ,card two does to the bottom of the pack, card three goes to the table, card four to the bottom of the pack, and so on. this procedure continues until all cards are delt.

the order in which the cards appear on the table is:
A K A K A K A K