1) The amount of unique, single-element subsets of "A" is the amount of unique elements in "A". Your question states that we can also have no elements ("balls") in subsets. In Discrete Mathematics the amount of unique elements of the set "A" is often referred to as the "cardinality" of a set. This is denoted |A|. So the answer would be |A| + 1. (The ' + 1' accounts for the empty set) 2) If we can create as many subsets as we like, we can calculate the maximum about of subsets (including the empty set), by calculating 2 to the |A|. Written Sat.
If every number can be used as many times as you like, there are 104 = 10000 different combinations. If each number can only be used once, there are 9!/(9 - 4)! = 5040 combinations.
They have no specific meaning. The order of letters and numbers are used to generate the largest number of possible combinations.
every number from 0000 to 9999
No there actually more combinations that we can make with numbers than letters. That's not actually true, since there are more letters than numerals, but every combination of numerals is a number and there are an infinite number of them, whereas, not all combinations of letters actually make words--there is only a finite number of words.
the combinations change every time Hope Funky Monkey helped! :)
Because every combination is equally probable, but more combinations sum to seven than to any other total. There are 36 possible combinations; of these seven will produce 7, only one will give 2 and only one will give 12.
I'm assuming they're three unique numbers. Thus, the first can be any of three, the second either of the remaining two, and the last is the last one left. Thus: combinations = 3 * 2 * 1 = 6 Or, more generally, the combinations of n numbers in such a problem is n factorial, denoted as "n!", which is every number from 1 to that number multiplied together.
Any soldier who is wounded, either in combat or by terrorist action, may receive the Purple Heart. There are no limits as to the number you may receive--if you go out on 300 patrols, and get shot on every one of them, you can receive 300 Purple Hearts.
The list is so easy to construct that you can even do it yourself. Here's how: -- Begin with the number 1,000. -- Count from 1,000 to 9,999. -- Write down every number you say. There's your list.
There are no same combinations as they simply change so nobody has the same combinations so to complete this use trial and error to test BUT BE AWARE BECAUSE FOR EVERY WRONG GUESS YOU LOOSE TIME TO MAKE THE FOUR COMBINATIONS!!!!!
According to my calculations, with the first four included. It should be 33,396 combinations
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