When two dice are tossed, the total outcomes is 36 (6X6). Why is it not 12 combination 2 which is 66?

Answer 1

Because when you role a 2 x 3, - it's the same as 3 x 2. Therby reducing the number of combinations.

Answer 2

Two dices are not considered differently (as dice A and dice B) here. So there are can be only 6 single values at the first place. Not 12.

That means; Value 2, Value 3 is equal to the Value 3, Value 2.

Any value of a dice may have any of the possible 6 values from the other dice. So the answer is 6 x 6.

Answer 3

There are 6 sides to a dice, each time you throw, only one side will face up. So, the total outcomes for 2 die thrown is actually (6C1) x (6C1), [where 6C1 means 6 combination 1],

Your other proposed solution 12C2, is used only for situation where there are 12 balls numbered between 1 to 12 in a bag, and drawing 2 balls from the bag, what is total number of possibilities of different combinations there are.

Answer 4

The reason it's 36 is that each die has 6 possibilities, so 6 x 6 = 36. Period.

It can not be your 2nd option because there are not 12 possibilities for any single die. (there are only 6 sides per die, therefore 6 possibilities)

Answer 5

each number on a die get 6 other number combinations to math with.

1:1
1:2
1:3
1:4
1:5
1:6
etc...

if there are 6 on one die and if that die gets 6 with the other one, then 6 * 6 = 36.

Answer 6

Since each die is its own independent "event generator".

Its (six-combination-one) times
(six-combination-one) = 36

Answer 7

11
12
13
14
15
16
22
23
24
25
26
33
34
35
36
44
45
46
55
56
66

21 Outcomes

Answer 8

The only possible outcomes are :
(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

ie only 36 outcomes.12 combinations of 2 doesn't make sense.