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R.1. Give a numerical answers to the following questions. (a) Six rabbits compete in a track race. If only the 1st, 2nd and 3rd places count, how many different results

are possible? (b) How many different results are there if rabbit number 5 came last. (c) How many distinguishable permutations can be made using all the letters (ignoring spaces) from the words SINCIL BANK (i) with no restrictions, (ii) given the first letter must be capital C, (iii) given the first and last letters must be I and C, respectively?

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