In the game of Yahtzee, ve dice are rolled simultaneously. Here are some interes

Question

In the game of Yahtzee, ve dice are rolled simultaneously. Here are some interesting outcomes: • three-of-a-kind (three dice show the same number, the other two show dierent numbers) • a full house (three-of-a-kind plus two-of-a-kind) • a large straight (the ve numbers that show up can be consecutively ordered) • all ve dice show the same number (a Yahtzee!) • a particular combination say two 2’s, one 4, two 6’s. Now in games involving dice, it is helpful to think of the ve dice as being distinct – i.e. we name them as dice 1, dice 2, etc. Determine the number of ways of obtaining each of the ve outcomes described above.

Explanation / Answer

Ans) There are 7776 possible combinations for five dice In the game of Yahtzee.(i.e. 65= 6*6*6*6*6=7776)

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