Factorial | Permutations When All Objects are Distinct

Permutation OF Identical Objects

Permutation OF Identical Objects

Permutations When Objects Are All Distinct|Factorial Notation|Exercise Questions|OMR

Inclusion & Exclusion Theorem || Permutation OF Alike Objects Taken Same at a Time

Prove that number of permutations of n distinct objects taken r at a time; when a particular onject is never taken in each a arrrangement is (n-1)P_(r)

Prove that the no.of all permutations of n different objects taken r at a time when a particular object is to be always included in each arrangement is r.(n-1)P_(r-1)

General illustration or permutation OF different object, grouping

Find the number of permutations of 7 objects, taken 3 at a time.

Find the number of permutations of 10 objects, taken 4 at a time.