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Permutation and Combination Assignment Help, Homework Help, Math Help
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>> Permutation and Combination
We at ExpertsMind offer online math solutions for permutations and combinations. We have highly experienced math tutors for helping students in solving toughest and complex permutations and combinations math problems. The theory of permutations and combinations is quite tough than other math topics. The part of theory is conceptual and it requires concentration in solving problems. It is quite difficult to solve complex permutation and combination questions without guidance of expert tutor. We offer online solutions for permutations and combination math questions from live online math expert 24*7 hours. We have specialized math tutors for same topic. They have ability to solve toughest problems from any level of complexity.
Theory of Permutation and Combination
Defining Permutations:
Permutation is defined as the different arrangements of a given numbers of things by taking some or all at a time.
Example: arrangement of three letters a, b, c by taking two a time (ab, ba, ac, ca, bc, cb)
Numbers of Permutations: If total number of things n, taken r at a time
^{n}
P
_{r}
=n(n1)(n2)…….(nr+1) = n!/nr!
Example
^{6}
P
_{4}
= 6*5=30
Results: Number of all permutations of n things, taken all at a time = n!
If total n object
P1 are alike of one kind
P2 are alike of one kind
Pr are alike of one kind
P1+P2+P3+…….+Pr=n
Then number of permutation of these n objects
n!/(P1!)(P2!)…(Pr!)
Defining Combinations:
Each of different groups or selections which can be formed by taking some or all of a number of objects.
Numbers of Combinations
N total things, taken r at a time
ncr= n! / (r!)(nr!)
^{n}
c
_{n}
=1
^{n}
c
_{0}
=1
Important Result
^{n}
c
_{r}
=
^{n}
c
_{nr}
Related Topics:
Counting Principles, Permutations, Circular Permutations, Combinations, Restricted Selections/ Arrangements
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