Five red marbles, four white marbles and three blue marbles of the same shape and size are placed in a row .Find the total number of possible arrangements.

Explanation

5 red , 4 white and 3 blue marbles of the same size and shape are placed in a row.
`:.` The total number of marbles is 12 out of which 5 are of one kind, 4 are of 2nd kind and 3 are of 3rd kind.
`:.`The total number of possible arrangements
`=(12!)/(5!4!3!)=(12*11*10*9*8*7*6)/(4*3*2*3*2)
`=12*11*10*3*7=27720`