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Learn the difference between combinations and permutations, and how to calculate them with or without repetition. See examples, formulas, notation and applications of combinatorics.
Learn what is combination in maths, how to calculate it using a formula, and how it differs from permutation. See examples of combination problems and solutions with diagrams and explanations.
In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter (unlike permutations). For example, given three fruits, say an apple, an orange and a pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an orange ...
Learn how to count the number of combinations of n objects taken r at a time, using the formula nCr = n!/r! (n-r)!. Watch a video and see questions and answers about combinations and permutations.
- 6 min
- In Permutations the order matters. So ABC would be one permutation and ACB would be another, for example. In Combinations ABC is the same as ACB be...
- You're talking about a permutation, even though in the real world people use the word combination (which is mathematically wrong). Here's an easy w...
- There are 3 people who can sit in chair one. Then there are only two of those three left for chair two and then one for chair three. 3*2*1 equals 6
- Yes it is. A "mutation" is a change, and the prefix per- means something like "very" or "thorough". So a permutation can be interpreted as a "thoro...
- combinations:(C)arefree of the order. permutations: needs order, very (P)ragmatic. P is a pragmatic parent. C is a carefree child. Saw that in some...
- i do not understand that language
- Each of the 5 letters has 4 possibilities for where it can be, so the number of results is 4*4*4*4*4 or 4⁵
- FBC is a combination of 3 people: person F, person B, and person C.
- Formula for *permutation*: nPr = n!/(n-r)! Formula for *combination*: nCr = n!/r!.(n-r)! *Difference* between permutation and combination **In per...
Learn how to calculate combinations using factorials and binomial coefficients. Watch a video example of how to seat six people in four chairs with or without order.
- 11 min
- That is correct! A true combination lock would be at most 𝑛! times weaker than a permutation lock!
- (a/b)/c = ((a/b)(1/c)) / (c * (1/c)) This is just multiplying the top and bottom by (1/c). The bottom then cancels out to 1 and the top is a/(b*c).
- Combos are (C)areless about the order Permutations take great (P)ains to keep track of the order ps. i just came up with i so its not very catchy
- That's very helpful. Many thanks as I was struggling with it too.
- Ok, let's start by an example. If there are 3 chairs and 5 people, how many permutations are there? Well, for the first chair, 5 people can sit on...
- Six people into 0 chairs means all 6 people are standing, which is the only possibility. So you have 1, not 0 or undefined possibility.
- 10,000 combinations. First method: If you count from 0001 to 9999, that's 9999 numbers. Then you add 0000, which makes it 10,000. Second method: 4...
Learn how to calculate combinations, which are selections of things from a set without caring about their order. Find the combinations formula, differences with permutations, and examples with solutions.
2 days ago · Learn how to count the number of combinations of choosing elements from a set, with or without repetition or restriction. See examples, formulas, proofs and applications of combinations in various problems.
