Six school girls discuss about their color preferences. They decide to write in a piece of paper their two favorite colors among a possible set of seven colors: pink, purple, yellow, maroon, red, green, and brown.

If we assume that all colors are equally likely to be selected, what is the probability that

(i) all six girls select maroon as one of their choices?

(ii) exactly five girls select pink and maroon as their choices?

(iii) the total number of colors the girls wrote down is five, so that two colors are not selected by anybody?