Homework SourseDetermine the following regarding number of ways things can
Determine the following regarding number of ways things can occur. 10.3 Possible lottery number if each lottery ticket purchaser select a six digit number with digit 0 through 9 allowed. 10.4 Number of unique orderings without replacement of nine marbles if they include 4 identical red, 3 identical white, and 2 identical blue
Determine the following regarding number of ways things can occur. 10.3 Possible lottery number if each lottery ticket purchaser select a six digit number with digit 0 through 9 allowed. 10.4 Number of unique orderings without replacement of nine marbles if they include 4 identical red, 3 identical white, and 2 identical blue
Solution
10.3
There are 10 possibilities (0 to 9) for each of the 6 digits.
Thus, there are 10*10*10*10*10*10 = 1,000,000 possibilities [ANSWER: 1,000,000]
10.4
The number of permutations of n1, n2, n3 like objects on a line is
N(n1, n2, n3) = (n1 + n2 + n3)! / [n1! n2! n3!]
Thus,
N(n1, n2, n3) = 9!/[4!3!2!] = 1260 orderings [ANSWER: 1,260]
