Thread: family game: how many combinations are possible?

1. family game: how many combinations are possible?

Hi guys

I'm almost getting crazy. We are playing a game in our family and i wanted to demonstrate my son for what probability is useful. Now i am trying to solve following problem since 4 hours:

I have 5 different dices (blue, red, yellow, black, white) in an urn. I take one by one randomly out and roll it (order matters, no putting back). The possible numbers on all dices go between 1 and 3. How many different combinations do exist?

My first estimate was 3×5! (5 draws without putting it back), then i switched to 5×3^5. I tested it with 2 dices going from 1-3 and 3 dices going from 1-2 in a decision tree but i am not able to generalize it.

Really appreciating your help!

Happy easter, chris

2. Re: family game: how many combinations are possible?

Each dice has 3 possible outcomes, so there are combination when you rolling 5 dice.

Since the order is also important, you have to account for the permutation for each combination. Therefore the total number is

3. The Following User Says Thank You to BGM For This Useful Post:

molly (04-15-2015)

 Tweet

Posting Permissions

• You may not post new threads
• You may not post replies
• You may not post attachments
• You may not edit your posts