Combinations and Permutations Combinations and Permutations


Combinations and PermutationsCombinations and Permutations



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Permutation and combination related questions are common in PSC and Bank exams.

Before going to Combinations and Permutations, first lean about factorial.

If \'n\' is a positive integer then, factorial of n is denoted as n!.


5! = ( 1 x 2 x 3 x 4 x 5 ) = 120

4! = (1 x 2 x 3 x 4 ) = 24


Permutations are for lists of items, whose order matters and combinations are for group of items where order doesn’t matter. in other words,

  • When the order of items doesn\'t matter, it is called as Combination.
  • When the order of items does matter it is called as Permutation.


The number of permutations of n objects taken r at a time is determined by using this formula:

P(n,r)=n!/(n−r)!

Permutation: Listing your 3 favourite football team in order, from list of 10 teams. P(10,3) = 720.


The number of combinations of n objects taken r at a time is determined by using this formula:

C(n,r)=n!/((n−r)!r!)

Combination: Picking a team of 3 people from a football coaching group of 10. C(10,3) = 10!(3!(10−3)!) = 120.

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The 49th Kerala State Film Awards presented by the Kerala State Chalachitra Academy were announced by the Minister for Cultural Affairs, A. K. Balan in Thiruvananthapuram on 27 February 2019. Here is the list of the winners in Kerala State Film Awards of 2019 .




Best Film – Kanthan: The Lover of Color.
Second Best Film – Oru Njayarazhcha.
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