Answer to Question #223556 in Discrete Mathematics for Vilas

Question

Find the number of distinct permutation of the word 'programmer '

Answer 1

$The \space word \space 'PROGRAMMER' \space has \space 10 \space letters \space where \space R \space occurs \space 3 \space times \space , \\ \space M \space occurs \space 2 \space times \space .\\ Therefore, \space required \space number \space of \space ways \space \\ =\frac{10!}{3!× \space 2! \space }\\ =302400\\ the \space number \space of \space distinct \space permutation \space of \space the \space word \space 'programmer \space ' \space =302400\\$