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1) Investigate the number of the different arrangements of the letters of EMMA 's name. EMMA* There is 18 different arrangements EMAM of the letters of EMMA, but 6 of EAMM them are the same so there are 12 MEMA different arrangements of the letter MEAM EMMA. MAEM In EMMA, M is duplicated MAME because of this we have 12 MMAE duplicated arrangements in our MMEA list. AMME EMMA AMEM EMAM AEMM EAMM EMMA* MAEM EAMM MAME MMAE MMEA AEMM MMAE MMEA MEAM AMME MEMA AMME AMEM AEMM The other thing that I found out was that in JACK there are 24 different arrangements but in EMMA there are only 12 different arrangements even though they both have 4 letters. This is because in EMMA, M is duplicated and because of this some of these arrangements that we get are...

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