Task 1: Answer each permutation problem completely. 1. Find the number of permutations of the letters of the word EVEN. 2. Find the number of permutations of the letters of the word STATISTICS? 3. In how many ways can 3 people be seated around a circular table? 4. In how many ways can 4 people be seated around a circular table? 5. There are 7 pupils who entered a bus with only 5 empty seats. In how many ways can these pupils be seated? 6. In how many ways can a group of 8 persons arrange themselves in a. in a row of 8 seats? b.around a circular table?
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The word "EVEN" has 4 letters. To find the number of permutations, we use the formula for permutations of n objects taken r at a time, which is n! / (n-r)!. In this case, n = 4 and r = 4, so the number of permutations is 4! / (4-4)! = 4! / 0! = 4! = 4 x 3 x 2 x 1 Show more…
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