if order of beads matters than you get 18P12= 8.892185702*1012. if order doesn't matter than it's 18C12= 18564 ways to arrange the beads.
Six.
If you have three DIFFERENT letters, you can arrange them in 3! = 1 x 2 x 3 = 6 different ways.
24.
24 ways
we can arrange different beads in 9!ways . and since it is a circular combination , 9 combinations are repeated so answer is 9!/9
if order of beads matters than you get 18P12= 8.892185702*1012. if order doesn't matter than it's 18C12= 18564 ways to arrange the beads.
Six.
If you have three DIFFERENT letters, you can arrange them in 3! = 1 x 2 x 3 = 6 different ways.
You can arrange 4 in 2 ways 1x4 and 2x2.
you can arrange 8 pictures 28 different ways
24 ways.
120
6
24
24.
30