There are 2^10 = 1024 combinations, including the one consisting of no items.
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.
If order doesn't matter, 15 combinations and if order does matter, 360 combinations are possible.
To calculate the number of 4-number combinations from 1 to 20, we can use the formula for combinations, which is nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to choose. In this case, n = 20 and r = 4. Plugging these values into the formula, we get 20C4 = 20! / (4!(20-4)!) = 4845. Therefore, there are 4845 different 4-number combinations possible from the numbers 1 to 20.
When selecting 7 items out of 7, there is only 1 possible combination.
3 items each in 3 categories gives 3*3*3 = 27 possible combinations.
The whole point of combinations is that the order of the number (or items) does not matter. Once you specify what the second number is, you are no longer looking at combinations.
Precisely 1. For ANY number n, the number of combinations of n of those items is always 1.
There is only one combination of ten items out of ten. For this question to have a non-trivial answer, either the ten items need to be selected from a larger number of items or a smaller number of items need to be selected from the ten items.
6 different combinations can be made with 3 items
To calculate the number of 12-number combinations using numbers 1-36, we can use the formula for combinations: nCr = n! / r!(n-r)!, where n is the total number of items to choose from (36) and r is the number of items to choose (12). Plugging in the values, we get 36C12 = 36! / 12!(36-12)! = 36! / 12!24! = (363534*...25) / (121110...*1). This simplifies to 125,736,770 unique combinations.
Combining equal groups together is possible through the concept of multiplication. By multiplying the number of groups with the number of items in each group, you can determine the total number of items. For instance, if you have 3 groups with 4 items in each group, you can put them together by multiplying 3 x 4 to get a total of 12 items.
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