Yes
Could you generate a complete set of 6 number combinations from 45 numbers ?
If there are n different objects, the number of permutations is factorial n which is also written as n! and is equal to 1*2*3*...*(n-1)*n.
A general form for finding a given number of combinations for a chosen sub-set of numbers from a set is Cr(n, r) = n!/r!(n-r)!
By making a number tree that could have as many as 1,000,000 combos.
A set of n objects has 2n combinations. In each combination, each element can either be included or excluded. Two possibilities for each of n objects. One of these combinations will be the empty set - where none of the objects are selected.
Yes
To find the number of combinations possible for a set of objects, we need to use factorials (a shorthand way of writing n x n-1 x n-2 x ... x 1 e.g. 4! = 4 x 3 x 2 x 1). If you have a set of objects and you want to know how many different ways they can be lined up, simply find n!, the factorial of n where n is the number of objects. If there is a limit to the number of objects used, then find n!/(n-a)!, where n is the number of objects and n-a is n minus the number of objects you can use. For example, we have 10 objects but can only use 4 of them; in formula this looks like 10!/(10-4)! = 10!/6!. 10! is 10 x 9 x 8 x ... x 1 and 6! is 6 x 5 x ... x 1. This means that if we were to write out the factorials in full we would see that the 6! is cancelled out by part of the 10!, leaving just 10 x 9 x 8 x 7, which equals 5040 i.e. the number of combinations possible using only 4 objects from a set of 10.
Could you generate a complete set of 6 number combinations from 45 numbers ?
If there are n different objects, the number of permutations is factorial n which is also written as n! and is equal to 1*2*3*...*(n-1)*n.
A general form for finding a given number of combinations for a chosen sub-set of numbers from a set is Cr(n, r) = n!/r!(n-r)!
2.026
By making a number tree that could have as many as 1,000,000 combos.
The objects within a number set can be caled as "Elements" or "members".
Count the number of distinct elements in the set.
9×8×7×6×5=15,120
-4