Poker dice is played by simultaneously rolling 5 dice. Show that (a) P{no two alike} = .0926;

Question:

Poker dice is played by simultaneously rolling 5 dice. Show that
(a) P{no two alike} = .0926;
(b) P{one pair} = .4630;
(c) P{two pair} = .2315;
(d) P{three alike} = .1543;
(e) P{full house} = .0386;
(f) P{four alike} = .0193;
(g) P{five alike} = .0008.