# 01_31ans - STAT 400 Examples for Spring 2011 1 a The call...

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STAT 400 Examples for 01/31/2011 Spring 2011 1. The call letters of radio and television stations in the United States begin with either K or W. Those west of the Mississippi River start with K and those east of it with W. a) Some stations, such as KID in Idaho Falls, Idaho, and WOW in Omaha, Nebraska, have 3call letters. How many sets of call letters having 3 letters re possible? 2 × 26 × 26 = 1,352 . b) Most stations that were licensed after 1927 have 4 call letters, such as KUZZ in Bakersfield, California, and WXYZ in Detroit, Michigan. How many sets of call letters having 4 letters are possible? 2 × 26 × 26 × 26 = 35,152 . c) How many sets of call letters having 4 letters are possible if we are not allowed to repeat letters? 2 × 25 × 24 × 23 = 27,600 . 2. In how many orders can the names of 5 candidates for the same office be listed on a ballot? 5 4 3 2 1 = 120 . 1st 2nd 3rd 4th 5th n ! = 1 2 ... ( n – 1 ) n n ! = n ( n – 1 ) ... 2 1 0 ! = 1 n ! is the number of ways to rearrange (reorder) n distinct items. For example, there are 7

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01_31ans - STAT 400 Examples for Spring 2011 1 a The call...

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