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Emma's Dilemma I have been asked to find out how many ways I can arrange the EMMA. I have then been asked to work out a formula for this without writing down every combination. I will now find out how many ways I can arrange the letters EMMA. One combination is EMMA Another is EMAM EAMM MMAE MAME MEMA MAEM MEAM MMEA AEMM AMME AMEM They are 12 different combinations of EMMA. 4 letters but 3 different letters I will now work out how many combinations they are with a 4 letters all different I will try PHIL one combination is PHIL ILPH PHLI ILHP PIHL IHPL PILH IHLP PLHI IPLH PLIH IPHL HILP LIHP HIPL LIPH HPIL LHPI HPLI LHIP HLIP LPIH HLPI LPHI I have found out that they are 24 different combinations. 4 letters all of them different. I have worked that this is double to EMMA. I have also worked out that with every 2 letters beginning they are 12 combinations so with every one letter beginning they are 6 different combinations. I...

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