14. The word SUCCESS has seven letters, some of which are repeated (two Cs, three Ss)....

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14. The word SUCCESS has seven letters, some of which are repeated (two Cs, three Ss). An anagram of this word is any rearrangement of its letters, regardless of whether it has a meaning or not. For example, CCESSSU is an anagram of SUCCESS. Because some of the letters are repeated, changing the positions of repeated letters does not change the anagram (for example, in SUCCESS, if the first S changes places with the last S, we still spell SUCCESS in the same way, so that does not count as a different anagram). Justify your answers to the following questions. (a) How many distinct anagrams are there using all letters from SUCCESS? (b) From SUCCESS, choose the two Cs, and two other letters that do not repeat, for a total of four letters. How many four letter anagrams can be produced in this way? (c) From SUCCESS, choose two Ss, and two other letters that do not repeat, for a total of four letters. (Only two Ss are being used!) How many four letter anagrams can be produced in this way? (d) How many anagrams can be formed by choosing any four letters from SUC- CESS? 14. The word SUCCESS has seven letters, some of which are repeated (two Cs, three Ss). An anagram of this word is any rearrangement of its letters, regardless of whether it has a meaning or not. For example, CCESSSU is an anagram of SUCCESS. Because some of the letters are repeated, changing the positions of repeated letters does not change the anagram (for example, in SUCCESS, if the first S changes places with the last S, we still spell SUCCESS in the same way, so that does not count as a different anagram). Justify your answers to the following questions. (a) How many distinct anagrams are there using all letters from SUCCESS? (b) From SUCCESS, choose the two Cs, and two other letters that do not repeat, for a total of four letters. How many four letter anagrams can be produced in this way? (c) From SUCCESS, choose two Ss, and two other letters that do not repeat, for a total of four letters. (Only two Ss are being used!) How many four letter anagrams can be produced in this way? (d) How many anagrams can be formed by choosing any four letters from SUC- CESS?

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1 we apply the concept of permutation in this case SUCCESS has seven letters inclusive of the two Cs ... View the full answer