AnswersComputer ScienceDiscrete MathematicsFind the number of distinct permutation of the word 'programmer 'March 26, 2023Archangel MacsikaFind the number of distinct permutation of the word 'programmer 'The Answer to the Questionis below this banner.Can't find a solution anywhere?NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?Get the Answers Now!You will get a detailed answer to your question or assignment in the shortest time possible.Here's the Solution to this QuestionThe \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\\The word ′PROGRAMMER′ has 10 letters where R occurs 3 times , M occurs 2 times .Therefore, required number of ways =3!× 2! 10!=302400the number of distinct permutation of the word ′programmer ′ =302400