Could you generate a complete set of 6 number combinations from 45 numbers ?
By making a number tree that could have as many as 1,000,000 combos.
To calculate the number of 7-number combinations from 8 numbers, you can use the combination formula, which is nCr = n! / r!(n-r)!. In this case, n = 8 (total numbers) and r = 7 (numbers chosen). Plugging these values into the formula, you get 8C7 = 8! / 7!(8-7)! = 8 ways. Therefore, there are 8 different combinations of 7 numbers that can be chosen from a set of 8 numbers.
The only rule for any set is that given any element [number], you should be able to determine whether or not it is a member of the set.
The first number can be any of the ten, likewise the second and the third so 10 x 10 x 10 = 1000 combinations
Could you generate a complete set of 6 number combinations from 45 numbers ?
By making a number tree that could have as many as 1,000,000 combos.
If the numbers are allowed to repeat, then there are six to the fourth power possible combinations, or 1296. If they are not allowed to repeat then there are only 360 combinations.
To calculate the number of 7-number combinations from 8 numbers, you can use the combination formula, which is nCr = n! / r!(n-r)!. In this case, n = 8 (total numbers) and r = 7 (numbers chosen). Plugging these values into the formula, you get 8C7 = 8! / 7!(8-7)! = 8 ways. Therefore, there are 8 different combinations of 7 numbers that can be chosen from a set of 8 numbers.
If you order the numbers from the higher to the lowest, the median is the number separating the lower half of the numbers from the higher half of the numbers in the set. If you have an odd number of elements in the set then the median is in the middle of this descending ordered numbers. If you have an even number of elements then, in order to determine the median, you calculate the mean of the two middle values.
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The only rule for any set is that given any element [number], you should be able to determine whether or not it is a member of the set.
The first number can be any of the ten, likewise the second and the third so 10 x 10 x 10 = 1000 combinations
The set is well defined. Whether or not a given integer belongs to the set of prime numbers is clearly defined even if, for extremely large numbers, it may prove impossible to determine the status of that number.
Well, there is a clear definition, and at least in theory you can always determine whether a number is a primer number or not, so I would say, yes.
By definition, it is the set of all real numbers!
Like 1235 or 8067? If you allow leading zeros, then 10 000. If you disallow leading zeros, then 9 000. * * * * * Those are the numbers of PERMUTATIONS, not COMBINATIONS. In combinations the order does not matter, so 1234 = 4312 = 2314 etc. The number of combinations is (10*9*8*7)/(4*3*2*1) = 210. The question of leading 0s does not arise because there is no order to the set of numbers in the combination so there is no "leading".