- published: 14 May 2015
- views: 678720
In mathematics, a combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases it is possible to count the number of combinations. 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; or a pear and an orange. More formally, a k-combination of a set S is a subset of k distinct elements of S. If the set has n elements, the number of k-combinations is equal to the binomial coefficient
which can be written using factorials as whenever , and which is zero when . The set of all k-combinations of a set S is sometimes denoted by .
Combinations refer to the combination of n things taken k at a time without repetition. To refer to combinations in which repetition is allowed, the terms k-selection,k-multiset, or k-combination with repetition are often used. If, in the above example, it was possible to have two of any one kind of fruit there would be 3 more 2-selections: one with two apples, one with two oranges, and one with two pears.
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Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/combinations-combinatorics/e/combinations_1?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Watch the next lesson: https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/combinations-combinatorics/v/handshaking-combinations?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Missed the previous lesson? https://www.khanacademy.org/math/probability/probability-and-combinatorics-topic/combinations-combinatorics/v/introduction-to-combinations?utm_source=YT&utm;_medium=Desc&utm;_campaign=ProbabilityandStatistics Probability and statistics on Khan Academy: We dare you to go through a day in which you never consider or use probabil...
Permutation & Combination invariably evokes groans from a lot of students and ironically the topic is just about counting , the number of ways certain event can happen .In this video we will discuss the fundamental rules of counting a). Rule of AND b). Rule of OR
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Counting Using Combinations - Math Help. A few numerical examples along with some word problems are shown where combinations are used to count the number of ways some event can occur. For more free math videos, visit http://PatrickJMT.com austin math tutoring, austinmathtutor, austin math tutor, justmathtutoring.com
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Topic : Permutation and combination definition, factorial notation. Language : Hindi Prerequisite : Basic Arithmetic
This video will show you how to find the actual combination to a master lock.
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The street is cold, the dawn is gray
My heart says no but my head says stay
My work is finished, or so I've been told
You can't part the three of us, once we got a hold
I forgot my name
I took a shot on the chin
I'm rearranging my game
Tell by the shape I'm in
In the line of fire, you know what to say
They gave us no choices, just one shade of gray
My legs keep moving, don't seem to stray
But I know each step we take, they're one step away
I found the secret, the key to the vault
We walked in darkness, kept hittin' the walls
I took the time, to feel for the door
I found the secret, the key to it all
I got the Nouveauree
And dragged it home to bed
I traded you for me
I took it all and said
I find my own fun, sometimes for free
I got to pay it to come looking for me
Walking on Gucci, wearin' Yves Saint Laurent
Barely stay on, 'cause I'm so God damn gaunt
I found the secret, the key to the vault
We walked in darkness, kept hittin' the walls
I took the time, to feel for the door