This problem has been solved.
All marbles have different sizes.
A boy has 4 red 5 yellow and 3 green marbles.
11x10x9x8x7x6x5x4x3x2x1 39916800 different combinations.
A marbles of the same color are indistinguishable.
At first they may have been simple round stones or clay balls.
Wow i m very surprised in the logic of people these days.
Bulk marbles opaque game marbles all sizes opaque game marbles all sizes tip 1 we recommend that you place a coin over the holes on your game board to determine both the size you need to fill the hole and to make sure you will have enough space in between the marbles on the board.
The smallest and most common was about 15 mm 5 8 in in diameter the two larger more valuable sizes were referred to as semi bowlers and tom bowlers being about 20 mm 3 4 in and 25 mm 1 in in diameter respectively they were used in much the same way as ordinary marbles although sometimes they would be declared.
Marble size is a matter of preference for hobbyists but as of 2011 the national marbles tournament called for specific sized marbles for its competitions.
In australia games were played with marbles of different sizes.
The process for making marbles has changed over the years as new materials and technologies spread.
Obviously you would plug each number into the outcome equation.
In how many ways can the boy arrange the marbles in a line if.
B all marbles have different sizes.
More recently they have been made of actual marble clay porcelain glass and steel.
In how many ways can the boy arrange the marbles in a line if.