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Emma is playing with an arrangement of the letters in her name. * One arrangement is Emma * A different arrangement is Meam * Another arrangement is Aemm> Investigate the number of different arrangements for Emma's name.> Emma has a friend called Lucy. Investigate the number of different arrangements for Lucy's name.> Choose some different names and investigate the number of different arrangements for the names. A number of X's and Y's are written in a row such as: xxxx.......xx.....yyy....xyyyy> Investigate the number of different arrangements for the row of letters. ~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~*~ The number of different arrangements for Emma's name * EMMA MEAM MMEM MAEM * EMAM AEMM MMAE MEMA = 12 arrangements * EAMM AMEM MAME AMME The number of different arrangements for Lucy's name * LUCY LYCU UCYL CYLU CULY * LUYC LYUC UCLY CYUL CUYL * LCYU ULCY UYCL CLUY YLUC * LCUY ULYC UYLC CLYU YLCU * YUCL YULC YCLU YCUL = 24 arrangements For one letter there will obviously be only one combination E.g. B = one arrangement For two letters there will be two arrangements: E.g. * TI and IT = two arrangements For...

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