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Dela Cruz Marry Ann C.
Created on April 20, 2021
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Transcript
Permutation& Combination
combination
PERMUTATION
Permutation relates to the act of arranging all the members of a set into some sequence or order. In other words, if the set is already ordered, then the rearranging of its elements is called the process of permuting.
The 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.
DIFFERENCES BETWEEN PERMUTATION AND COMBINATION
COMBINATION
PERMUTATION
-The different ways of arranging a set of objects into a sequential order are termed as Permutation. -The order is very relevant. -It denotes the arrangement of objects. -Multiple permutations can be derived from a single combination. -They can simply be defined as ordered elements.
-One of the several ways of choosing items from a large set of objects, without considering an order is termed as Combination. -The order is quite irrelevant. -It does not denote the arrangement of objects. -From a single permutation, only a single combination can be derived. -They can simply be defined as unordered sets.
word problems
PERMUTATION
COMBINATION
In how many ways you can choose 8 of 32 playing cards not considering their order?
In how many ways can you arrange 5 different math books on a shelf?
32! (32-8)! 8!
5! = 120 5x4x3x2x1 = 120
=10518300