In the different arrangements of the word RAINBOW, how many words begin with $\mathrm{R}?$

Answer these questions independently of each other.

In the different arrangements of the word RAINBOW, how many words are there in which $\mathrm{R}$ and $\mathrm{W}$ are never together?

Answer these questions independently of each other.

In the different arrangements of the word RAINBOW, how many words are there in which vowels are never together?

Answer these questions independently of each other.

In the different arrangements of the word RAINBOW, how many words are there in which $\mathrm{A}$ is always before / and / is always before $\mathrm{O} ?$

In the different arrangements of the word RAINBOW, how many words are there in which vowels are always before the consonants?

Answer these questions independently of each other.

In the different arrangements of the word RAINBOW. how many words are there in which vowels occupy odd positions?