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letamp;#39;s now start solving some word problems how many words can be formed using all the letters from the word education you may wonder what general formula to apply whether to use rulers permutations or combinations letamp;#39;s arrange the lakers switch the position of C and a the formed word is e be you AC TI o n observe different order gives different meaning hence applicable rule is permutations education has nine letters the possible Arrangements also required nine letters recall from previous session that general formula for permutations is NP R when n and r are saying it is NP n which is nine factorial so answer to this question is nine factorial letamp;#39;s increase the complexity of the question what are the possible number of words if the position of e is fixed letamp;#39;s say e always appears first since E is always in first position we can ignore it in the calculation the all possible arrangements are in between remaining eight letters hence the answer is eight f