Boxes numbered 1, 2, 3, 4 and 5 are kept in a row, and they which are to be filled with either a red or ablue ball, such that no two adjacent boxes can be filled with blue balls. Then how many different arrangements are possible, given that all balls of a given colour are exactly identical in all respects?

1, 1, 2, 6, 24,?, 720

2, 12, 30, 56, ?, 132, 182

625, 5, 125, 25, 25, ?, 5

P3C, R5F, T8I, V12L, ?

3 2 3 6 12 37.5 115.5

36 216 64.8 388.8 A 699.84 209.952 A÷36 ?

0 1 9 36 99 225 441

42 3.5 73 26.25 118.125

1 3 9 31 128 651 3913