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The number of R-combinations in a set of N objects is C= N!/R!(N-R)! or the factorial of N divided by the factorial of R and the Factorial of N minus R. For example, the number of 3 combinations from a set of 4 objects is 4!/3!(4-3)! = 24/6x1= 4.

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Q: How can you Find the number of combinations of objects in a set?
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What is possible combinations of a set of objects?

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.


Is the number of permutations of two items from a data set is always two times the number of combinations when taking two objects at a time from the same data set?

Yes


How do you find all the combinations of a list?

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?

Could you generate a complete set of 6 number combinations from 45 numbers ?


How can you find the number of permutations of a set of objects?

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.


What is the number of ways to arrange 8 objects from a set of 12 different objects?

2.026


Is there any formula to find the possible gamete combintions when diploid number is given?

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)!


What do you call the numbers of a set?

The objects within a number set can be caled as "Elements" or "members".


If you have a set of 40 numbers how do you calculate the number of all the possible combinations of 5 numbers from the set?

By making a number tree that could have as many as 1,000,000 combos.


How do you find the cardinal number to a set?

Count the number of distinct elements in the set.


What is the number of ways to arrange 5 objects from a set of 9 different objects?

9×8×7×6×5=15,120


Is the number of permutations of 2 items from the same data set always 2 times the number of combiations when taking 2 objects from a data set?

Yes