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Maths GCSE Coursework. Emma's Dilemma Emma is playing with the arrangements of the letters of her name. The standard arrangement is 'EMMA,' another arrangement is 'MEAM,' and a different arrangement is 'EAMM.' 1. Investigate the number of different arrangements of the letters of EMMA's name. Emma has a friend called LUCY 2. Investigate the number of different arrangements of the letters of LUCY's name. Choose some different names 3. Investigate the number of different arrangements of the letters of the names you have chosen. A number of X's and Y's in a row such as : XXX........XXYY........YYY 4. Investigate the number of different arrangements of the letters. Shown below is the full list of the combinations of her name: EMMA EMAM EAMM AMME AMEM AEMM MMAE MAME MAEM MEMA MEAM MMEA As you can see there are 12 combinations of Emma's name. This process of writing all of the combinations out is very slow and very tedious; therefore it would be a lot better if we had a formula to work out the...

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