Write down the set 2 containing the letters of your full name. For example, my name...

 

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Write down the set 2 containing the letters of your full name. For example, my name is JULIA COLLINS so my set would be = {A, C, I, J, L, N, O, S, U}. (Remember that sets do not contain repetitions.) Your set should contain at least 6 different letters - if it does not then add in extra letters until this requirement is fulfilled. N = (a) The university wants to create a username for you of the form ABC12, where the first three characters are different letters from your name, and the last two characters are different digits from 0-9. In how many ways can this be done? [2] (b) How many 5 letter words can I make from the letters in 2, if the first and last letter must be the same? Repetition of letters is allowed within a word, and the words do not need to make sense. [2] Write down the set 2 containing the letters of your full name. For example, my name is JULIA COLLINS so my set would be = {A, C, I, J, L, N, O, S, U}. (Remember that sets do not contain repetitions.) Your set should contain at least 6 different letters - if it does not then add in extra letters until this requirement is fulfilled. N = (a) The university wants to create a username for you of the form ABC12, where the first three characters are different letters from your name, and the last two characters are different digits from 0-9. In how many ways can this be done? [2] (b) How many 5 letter words can I make from the letters in 2, if the first and last letter must be the same? Repetition of letters is allowed within a word, and the words do not need to make sense. [2]