(a) Draw a binary search tree for the following numbers as elements: 60, 75, 43, 65, 16, 53, 25, 46, 63, 62, 55, 42, 70, 64.
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- Build a binary search tree for the words: hair, pies, chemical, keen, silver, drum, crib, huge, periodic, and clover using alphabetical order.Assume that you select digits from the set {1,2,3,4,5,7,8} to form a number between 10 and 800. (1) How many such numbers can be formed if digits are not repeated? (2) How many such numbers can be formed if digits can be repeated?Find the g.c.d of the numbers 2,045 and 910 using Euclidian Algorithm.
- A stemplot is created from the ages of drunk drivers involved in fatal car crashes and the first row is 1| 67889. Identify the values represented by that row, in order from smallest to largest value.Show that if seven integers are selected from {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, there must be a pair among the selected integers whose sum equals 13.Complete the following. (a) Calculate how many numbers between 100 and 699 contain exactly one 1 by subtracting the number that contain no 1's, two 1's, or three 1's from the total. (b) Calculate the answer to part (a) directly by creating a tree diagram and considering whether the first digit is a 1 or not, then the second digit, and then the third. (a) There are numbers between 100 and 699 that contain exactly one 1. (Type a whole number.)
- How many computer passwords can be formed by rearranging the letters in the word "AARDVARCK'?A credit card company gives each of its customers a 4-digit PIN where each digit is selected from 0,1,2,...,9. How many different PINS are possible?Use any method, list all the three digit numbers from the set {3,4,5,6} where there are no repeating digit.
- Find 0!, 5!, and 6!.Compute the number of different ways a national high school sports competition featuring the top 128 teams in the nation could award winners for 1st through 4th places.How many outfits can be made from 4 pairs of slacks, 5 shirts, and 3 ties, if one selection from each category is made? Assume that all items fashionably match.