Permutation and combination concepts:
Answers:
1. Here, we are going to select 120 out of 30 so, combination must be C(120,30)
2. Possible outcomes to select first five will be P(30,5)
120 pianists compete in a piano competition. In the first round, 30 of the 120 are...
Twenty students compete in a programming competition in which the top four students are recognized with trophies for first, second, third, and fourth places. How many different outcomes are there for the top four places? The judges decide that they will award honourable mention certificates to four individuals who did not receive trophies. In how many ways can the honourable mention recipients be selected (after the top four places have been determined)? How many total outcomes (trophies and certificates) are...
At a movie festival, a team of judges is to pick the first, second, and third place winners from the 24 films entered. How many possibilities are there?
please use multinomial coefficient and explain it and follow the comment In the first round of a knockout tournament involving n = 2m players, the n players are divided into n/2 pairs, with each of these pairs then playing a game. The losers of the games are eliminated while the winners go on to the next round, where the process is repeated until only a single player remains. Suppose we have a knockout tournament of 8 players. (a) How many...
Suppose that 23 people are competing in an Olympic event, where first place earns Gold, second place earns Silver, and third place earns Bronze. How many different possible outcomes are there for this Olympic event?
Question 3 a) Solve each of the following: i) Convert 111111002 from binary to decimal notation and hexadecimal. (2 marks) i) Add 76B16 +42EA16 hexadecimal numbers. (2 marks) ii) C(8,6) (2 marks) b) There are 20 people who work in an office together. Four of these people are selected to attend four different conferences. The first person selected will go to a conference in Japan, the second will go to Singapore, the third to Thailand, and the fourth to Korea....
Name: Assignment 4 Please show all of your work and not only the answer 1. [5 points in the Cash Now lottery game there are 10 finalist who submitted entry tickets, three grand prize winners will be drawn. The first prize is $1 million, the second prize of $100,000, and the third prize is $10,000. Determine the total number of different ways in which the winners can be drawn. Assume that the tickets are not replaces after they are drawn)...
Name: Assignment 4 Please show all of your work and not only the answer 1. [5 points in the Cash Now lottery game there are 10 finalist who submitted entry tickets, three grand prize winners will be drawn. The first prize is $1 million, the second prize of $100,000, and the third prize is $10,000. Determine the total number of different ways in which the winners can be drawn. Assume that the tickets are not replaces after they are drawn)...
In the previous question, suppose that you decided not to 30 quit your job and go back to school. Instead, you decide to put S65,000 (your tuition books and foregone wages) into the bank at the end of the first year and another $65,000 at the end of the second year at 7% interest. Right after making your second deposit, how much money would you have in the bank at the end of the second year? a. b. You want...
The graph of the discrete probability to the right represents the number of live births by a mother43to47years old who had a live birth in2015.Complete parts (a) through (d) below.0123456780.000.050.100.150.200.250.30Number of Live BirthsProbability0.2390.2890.1650.1140.0930.0180.0380.044A histogram with a horizontal axis labeled “Child” from 1 to 8 in intervals of 1 and a vertical axis labeled "Probability" from 0 to 0.30 in intervals of 0.05 has eight vertical bars of width 1, centered along the horizontal axis labels, with labeled heights. The heights...
For each of the above transactions, prepare the adjusting journal entry that is required on December 31. (Hint: Use the account Service Revenue for item 3 and Maintenance and Repairs Expense for item 4.) (Round answers to 0 decimal places, e.g. 5,275. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts. Credit account titles are automatically indented when the amount is entered. Do not indent manually.)No.DateAccount Titles and ExplanationDebitCredit1.Dec. 31, 2022enter an account title...