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Emma is playing with the different arrangements of the letters in her name, here is a list of all the different arrangements: 1- emma 2- emam 3- eamm 4- amme 5- amem 6- aemm 7- mmae 8- mmea 9- mema 10- mame 11- maem 12- meam To make sure that she listed all of the possible arrangements, Emma used a systematic formula. Lets try it with the letters abcd: 1-abcd first start off by keeping the first two letters the same and then swapping the last two letters. 2-abdc Then keep the first letter where it is and swap all the second number with the third. 3-acbd Now you can swap the last two numbers and keep the first two where they are. 4-acdb Next swap the second letter with the only letter that has not been second yet which should be D, then you can swap the last two letters again. 5-adbc 6-abdc Now that you have listed all of the arrangements for the letter A you can repeat this process but each time...

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