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Emma’s dilemma The different ways of arranging letters for Emma’s name  

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Emma's dilemma There are different ways of arranging letters for Emma's name the combinations for Emma's name are EMMA MMAE MMAE EAMM AEMM MEMA MAME MEAM MAEM AMME AMEM EMAM There are 12 combinations for a 4 letter word with 2 repeats Emma has a friend called Lucy. Lucy wants to find how many different combinations her name makes ABCD ACDB ADBC ACDB ACBD ADCB DCAB DCBA DBAC DBCA DACB DABC CBAC CBDA CDBA CDAB CABD CADB BADC BACD BCDA BCAD BDCA BDAC. There are 24 different combinations for a 4 letter word with no repeats 1 Letter A 2 Letters AB BA 3 Letters ABC ACB BAC BCA CAB CBA 4 Letters ABCD ACDB ADBC ACDB ACBD ADCB DCAB DCBA DBAC DBCA DACB DABC CBAC CBDA CDBA CDAB CABD CADB BADC BACD BCDA BCAD BDCA BDAC. No. letters combinations 1 1 = 1 x 1 2 2 = 1 x 2 3 6 = 2 x 3 4 24 = 6 x 4 5 ? = 5 x 24 The rule is times the number of letters by the number of combinations...

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