Two lottery tickets are drawn from 20 for the 1st and 2nd prizes. Find the number of ways by which we can select the winning tickets.

Q: Find the number of different ways that an instructor can choose 7 students from a class of 16…

A: No. of students in a class for field trip(n)=16No. of students that an instructor can choose(r)=7

Q: How many license plates can we have of three digits followed by three letters? We allow repeated…

A: Since, there are 10 possible digits for the numbers (0 to 9), and 26 possible letters (A to Z). As,…

Q: How many ways can first and second place be awarded to 12 racers?

A:

Q: There are 4 jobs you can choose in a volunteer site. How many different ways are there to choose 1…

A: The objective of the question is to find out the number of ways to choose 1 job out of 4 available…

Q: There are 46 runners in this year's school 5k race. The school has purchased 10 awards to give out…

A: Given, There are 46 runners in this year's school 5k race. The school has purchased 10 awards to…

Q: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

A: In this case, there are 14 teams in the local little league.

Q: Find the number of ways in which we can select a team of 6 players from a class of 12 people.

A:

Q: There are 8 blue, 12 red, 6 yellow and 4 pink marbles in a bag. Assuming you can pick one; P (yellow…

A:

Q: A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the…

A: Given,rainbow troutother troutbasscatfishGreen Valley Lake206764766395Echo…

Q: There are 15 boys and 12 girls that try out for a chorus. The choir director will select 10 girls…

A:

Q: This year, I am the adviser of a 42-member local chapter of the National Mathematics Honor Society.…

A: topic - permutation and combinatation

Q: Of 13 possible​ books, you plan to take 4 with you on vacation. How many different collections of 4…

A: The objective of this question is to find out the number of different collections of 4 books that…

Q: Of 13 possible​ books, you plan to take 4 with you on vacation. How many different collections of 4…

A: The objective of this question is to find out the number of different collections of 4 books that…

Q: Find the number of different ways that an instructor can choose 4 students from a class of 31

A: There are 31 students in a class room, out of 31 students 4 students can be chosen in 31C4 ways

Q: A political scientist has 12 volunteers for a political opinion survey. And political scientist Alex…

A: GivenNo.of volunteers(n)=12No.of volunteers to complete different variations of the survey(r)=2

Q: On the first day of the Minnesota state fair 1 person enters through the gate in the first minute,2…

A: To find: The number of people enters through the gate in seventh minute. Given: The number of people…

Q: A die is rolled four times consecutively. Find the number of possible outcomes if the order of the…

A:

Q: In a survey it was found that 21 people liked product A, 26 liked product B and29 liked product C.…

A: Let A, B, and C be the set of people who like product A, B, and C respectively.  Now since 21 people…

Q: How many different ways are there for the 10 people to stand in line to buy movie tickets?

A: How many different ways are there for the 10 people to stand in line to buy movie tickets?

Q: Sam received scores of 84,86,83,90 and 87 on five tests. Hola had scores of 90,75,94,68 and 98 on…

A: Now we apply the formula of getting average = Sum of all scores / Total matches playedSo average…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.