Important Note : Before downloading this Pdf file, read the Introductory Lesson of Permutations and Combinations Pdf Download here.
Friends, in our last post we have discussed about the basics of Permutations and Combinations. With this post we are giving you a pdf file of the brief summary of Permutation and Combination shortcut techniques. We have tried to cover almost all important points you should know about Permutations and Combinations. This file consists of basic formulas, ways of choosing same kind of people from the given group, ways of choosing different kinds of people from the given group, choosing different kinds of people to form groups, Selecting letters, balls and other identical objects, arranging people in a specific order, arranging different types of objects in a specific order, arranging people in a circular way etc. We hope this small pdf file will help you getting a clear idea on Permutations and Combinations. Now just download the file from below link and prepare well.
1)THE NO. OF PERMUTATIONS OF N THINGS TAKEN TOGETHER WHEN P ARE ALIKE OF ONE KIND, Q OF OTHER TYPE, R OF OTHER
KIND AND REST OF ALL DIFFERENT IS . WE MAY CONTINUE IT FOR ANY NUMBER OF ITEMS.
2)THE NO. OF PERMUTATIONS OF N DISSIMILAR THINGS, TAKEN ALL AT A TIME IS (N-1)!
3)THE NUMBER OF WAYS OF ARRANGING N DISTINCT OBJECTS ALONG A CIRCLE, WHEN CLOCKWISE AND ANTICLOCKWISE
ARRANGEMENTS ARE CONSIDERED SAME IS
4)THE NUMBER OF NECKLACES FORMED WITH N BEADS OF DIFFERENT COLOURS OR
GARLANDS FORMED WITH N DIFFERENT FLOWERS
IS .
5)THE NUMBER OF WAYS OF DIVIDING ( M + N ) THINGS INTO TWO GROUPS OF M THINGS AND N THINGS IS
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