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Write down the set containing the letters of your full name. For example, my name is JULIA COLLINS so my set would be 2

 

Write down the set containing the letters of your full name. For example, my name is JULIA COLLINS so my set would be 2 = {A, C, I, J, L, N, O, S, U}. (Remember that sets do not contain repetitions.) Your set should contain at least 5 different letters - if it does not then add in extra letters until this requirement is fulfilled. (a) (b) I want to make a 4-letter word using the letter Z and three other different letters from 2. In how many ways can I do this? [2] How many 2- or 3- letter words can I make from the letters in 2? Repetition of letters is allowed within a word. [3] (c) The university chooses 4 different letters from 2 to use in your student ID. In how many ways can this be done? [2]

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