nCr=n!/r!/(n-r)!
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If you have N things and want to find the number of combinations of R things at a time then the formula is [(Factorial N)] / [(Factorial R) x (Factorial {N-R})]
Oh, dude, you're hitting me with some math here. So, if you have 4 dice, each with 6 numbers, you would have 6^4 possible combinations. That's like 1,296 different ways those dice could land. So, you better start rolling if you want to try them all!
You can make 5 combinations of 1 number, 10 combinations of 2 numbers, 10 combinations of 3 numbers, 5 combinations of 4 numbers, and 1 combinations of 5 number. 31 in all.
There are 10,737,573 combinations and you must think I am mad if you think I am going to list them!
There are 1 combination of 4 colours out of 4, 4 combinations of 3 colours out of 4, 6 combinations of 2 colours out of 4, 4 combinations of 1 colour out of 4. A grand total of 15 (= 24-1) combinations.