Question

How many distinguishable ways can 3 white marbles and 3 red marbles be placed in a row if 2 marbles of the same color cannot be adjacent?

Answer 1

how many ways can we place the first marble?

Answer 2

Hmm, 2?

Answer 3

Distinguishable ways...at least. 6 if not.

Answer 4

red or white, 2 options

once that placed, howmany options we got for the next placement?

Answer 5

1. and so on and so forth.

Answer 6

then there should only be 2 ways to do this :)

r w r w r w r w
w r w r w r w r

Answer 7

Oh okay. Thanks for explaining. :)

Answer 8

yw, 2*1*1*1*1*1 = 2 would have been the mathical approach