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Class 12 Tuition > Learn Class XI-XII Tuition (PUC) > Find number of way so the letter MASSIMGASSIRE arrange...
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Find number of way so the letter MASSIMGASSIRE arrange in which all come together

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What do you mean by "all come together"?
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GMAT Math Expert

you didn't mention what should come together
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Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

Total no. of letters - 13 , repeated letters- M 2 times, A 2 times , I 2 times , S 4 times . number of ways to arrange = 13 ! / (2 ! 2 ! 4 ! 2 ! )
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Maths and Physics teaching For XI, XII, IIT Jee Level , Quant and DI for CAT/GMATE/GRE aspirents

13! / (2! X 4! X 2! X 2!)
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Mathematics, Statistics

The term "all come together" is not clear.
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i believe in authantic teaching. basic concepts of a child makes the subject easy and intresting. i am working on this feild for last ten years and got very good results children who dare with maths get intrest in it and perform excelent in their exams maths become fun for them

not well defined question
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Expert In Mathematics, Statistics, Analytics, Data Science, Big Data

That they are confused why we are dividing with some number here... Let me clear it... I am taking simple example... "eggle" here we can see there are five letters. If the letters were different the answer would be 5! simply but here 2 letters e's are identical. If I am taking five factorial we have...
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That they are confused why we are dividing with some number here... Let me clear it... I am taking simple example... "eggle" here we can see there are five letters. If the letters were different the answer would be 5! simply but here 2 letters e's are identical. If I am taking five factorial we have repeated the word many times and that is how many times a particular letter occurred in the word but we have one letters 2! times hence we are dividing 5! by 2!...Same logic can be extended...I hope you understand... If you need further explanation contact me. read less
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Physics & Maths

My guess is, Abdhesh means to ask, "AII" comes together... not "ALL".. as we all were thinking. If we take this as question, the answer is simple. I am also assuming further that, AII comes in that order. M-2, AII-1, A-1, S-4, G-1, R-1, E-1 ... (note that selecting one A out of two As ... only 1 way...
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My guess is, Abdhesh means to ask, "AII" comes together... not "ALL".. as we all were thinking. If we take this as question, the answer is simple. I am also assuming further that, AII comes in that order. M-2, AII-1, A-1, S-4, G-1, R-1, E-1 ... (note that selecting one A out of two As ... only 1 way possible) Thus, no. of ways = 11!/(2!.4!) If the order of AII is not fixed, the answer will be multiplied with 3!/2! = 3. read less
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Trainer

Is it possible?
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Tutor

7! If same words repeat
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