Answer :
a) the total possible outcomes are 46656
b)the total number of outcomes for the dice having different numbers is 720
c) the probability that you obtain six different numbers when you roll six dice is 720/46656
A combination may be a mathematical strategy that decides the number of possible arrangements in a collection of things where the arrangement of the selection does not matter. In combinations, you'll select the things in any order. Probability can be characterized as the proportion of the number of favorable results to the full number of results of an occasion. For a test having an 'n' number of results, the number of favorable results can be signified by x.
The equation to calculate the likelihood of an occasion is as follows:
Probability(Event) = Favorable Outcomes/Total Results
= x/n
Since given that 6 dice are rolled, so the possible outcomes will be :
=> 6^6 =4 6656
The possible outcomes for the dice are of different numbers: 720
The probability that you obtain six different numbers when you roll six dice is
C(6,1)×C(5,1)×C(4,1)×C(3,1)×C(2,1)×C(1,1)=720/46656
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