Gsuccessfully delivering prizes (a) as a prize, a competition would like to give away a computer. how many distinct ways are there to arrange the letters of the word computer? (b) how many distinct ways are there to rearrange the letters of the word success? (c) a game show wants to place 7 distinct numbered prizes into 4 distinct boxes, labeled, a, b, c, and d, such that 1 prize goes into the box labeled a, 1 prize goes into the box labeled b, 3 prizes go into the box labeled c, and 2 prizes go into the box labeled d. in how many ways is this possible? (d) give a bijection between the permutations of the word success and the ways the game show places the prizes in the boxes as described above.