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.
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To calculate the number of possible combinations of the digits 1, 3, 7, and 9, we can use the formula for permutations of a set of objects, which is n! / (n-r)!. In this case, there are 4 digits and we want to find all possible 4-digit combinations, so n=4 and r=4. Therefore, the number of possible combinations is 4! / (4-4)! = 4! / 0! = 4 x 3 x 2 x 1 = 24. So, there are 24 possible combinations using the digits 1, 3, 7, and 9.
To calculate the number of possible combinations from 10 items, you can use the formula for combinations, which is nCr = n! / r!(n-r)!. In this case, n is the total number of items (10) and r is the number of items you are choosing in each combination (which can range from 1 to 10). So, if you are considering all possible combinations (r=1 to 10), the total number of combinations would be 2^10, which is 1024.
To calculate the number of different 4-digit combinations that can be made using numbers 0 through 9, we use the concept of permutations. Since repetition is allowed, we use the formula for permutations with repetition, which is n^r, where n is the number of options for each digit (10 in this case) and r is the number of digits (4 in this case). Therefore, the number of different 4-digit combinations that can be made using numbers 0 through 9 is 10^4, which equals 10,000 combinations.
nCr=n!/r!/(n-r)!
Well, honey, if you're looking for the number of combinations of 4 numbers out of 45, it's 1,221,759. But let's be real, you're not gonna be manually counting all those combinations, so thank goodness for math and calculators. Just plug in those numbers and let the magic happen.