Infinitely many.For a start: t, tt, ttt, tttt, and so on until (?) you have infinitely many ts.
you can arrange three beads 9 different ways.
you can arrange 8 pictures 28 different ways
You can arrange 4 in 2 ways 1x4 and 2x2.
There are 59875200 ways.
24 ways.
30
24.
120
6
24
24 ways
120 ways