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EMMA'S DILEMMA We are to find out a formula to predict the number of combinations in a word. This can be affected by the amount of words, the amount of different words and if the word is a palindrome (A word which can be read front-to-back and back-to-front, e.g. ANNA). I will first list the combinations of one name, EMMA and look at the amount of combinations and try to find a formula, which receives the same results. 1) EMMA - The name Emma has four words so there can not be too many results. There are two letters the same, which should reduce the amount of combinations produced. -Emma -Meam -Aemm -Emam -Eamm -Maem -Mmae -Mmea -Amme -Amem -Mame -Mema 12 Combinations It has been difficult to produce a formula straight away because of the repeated letter 'M'. I have decided to move on to a four-letter name in which all the letters differ, LUCY. 2) LUCY -Lucy -Lcuy -Lycu -Lcyu -Lyuc -Luyc -Ulcy -Ulyc -Uycl -Uylc -Ucly -Ucyl -Clyu -Cluy -Cyul -Cylu -Culy -Cuyl -Ylcu -Yluc -Yucl -Yulc -Ycul -Yclu 24 Combinations The name LUCY proves that a...

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