A club has ten members. In how many ways can the offices of president, vice president, secretary, and treasurer be filled if no member can serve in two offices? O 10.000

Q: A group of 10 friends go to a movie theater to see a newly released film. The friends consist of…

A: As per the given information 5 married couples are there and each couple must sit together Possible…

Q: How many ways can a committee of at least two people be formed from a group of 6 people? O 15 63 57…

A: We use permutation and combinations to solve the given problem as in next step.

Q: There are 4 oranges, 5 apples and 6 mangoes in a basket. In how many ways can a person make a…

A:

Q: In how many ways can 10 people be seated on a bench if only 4 seats are available?

A: Given problem Given that   In how many ways can 10 people be seated on a bench if only 4 seats are…

Q: In how many ways can 11 people be seated in a row?

A: There are 11 people to be seated in a row with 11 seats Assume that the first person chooses to sit…

Q: a) A mother duck lines her 9 ducklings up behind her. In how many ways can the ducklings line up?

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: Seven friends decide to sit on a row of seven seats. How many ways can they be seated if three of…

A:

Q: ?Q12. In how many ways can 9 doctors set in a round table

A:

Q: In how many ways can a president, vice president, secretary, and a treasurer b selected from club…

A:

Q: a) in how many ways can 6 numbered books be distributed over 4 identical shelves if shelves can be…

A: To distribute n things in k places, the formula is n+k-1k-1

Q: In how many ways can you place 9 different books on a shelf if there is space enough for only 5…

A: Given, 9 different books on a shelf and there is space only for 5 books.

Q: (a) How many ways can a student choose eight out of ten questions to answer on an exam? (b) How many…

A: (a) total number of question=10 to find number of ways can a student choose eight out of ten  we…

Q: In how many ways can the 40 members of a company club select a president, a vice president, and a…

A: Since, you have asked multiple question, we will solve the first question for you. If you want any…

Q: You have 6 books on a shelf. How many ways could you reorder them? (Enter your answer as a whole…

A: The permutation formula is given by

Q: In how many ways can 8 persons be seated around a table with 8 chairs if two individuals wanted to…

A: We have given that,  In how many ways can 8 person be seated around a table with 8 chairs if two…

Q: In how many ways can eight children posing for a photograph line up in a row?

A: 8! = 40320 ways can eight children posing for a photograph line up in a row

Q: In how many ways can 7 people be seated on a sofa if it can only accommodate 5 people?

A:

Q: In how many ways can 5 man draw water from 5 taps if no tap can be used more than once? * O 720 О…

A: Introduction: There are 5 men, who draw water from 5 available taps.

Q: How many ways can a person invite 3 friends out of 6 friends for dinner

A: Here use combination

Q: From a club of 16 people, in how many ways can a group of five members be selected to attend a…

A: Given Data: The number of people in the club is: n=16 The number of members required is: x=5 The…

Q: In how many ways can 5 people be seated in a circular table?

A: The given question is a multiple question, so as per the rule , we are doing only first question:…

Q: 20 fifth graders compete in a spelling bee. If there is a gold medal, silver medal, and bronze medal…

A: We have  Medals = 3 Positions = 3

Q: In how many can the 4 couples sit around a circular table so that no two men are sitting together? *…

A: Given  4 couples sit around a circular table so that no two men are sitting together.   We know that…

Q: In how many ways can 11 people be seated in a row of 11 chairs if Janet insists on sitting in the…

A:

Q: A team of 28 soccer players needs to select two co-captains. In how many ways can two co-captains be…

A:

Q: In how many ways can 10 people be seated in a row of 10 chairs if Janet insists on sitting in the…

A: The main objective is to find the permutations for the given problems.

Q: an accounting firm has 161 employees if 3/7 of them are cpa's then how many cpa's are there

A: We have to find no of cpa

Q: A clown owns 8 hat(s), 8 horn(s), 5 oufits. How many different outfits can the clown put together if…

A: Given that, A clown owns 8 hats, 8 horns, 5 outfits. We need to find the number of different outfits…

Q: Three members of an organization volunteered to serve as President, Treasurer and Secretary. In how…

A:

Q: In how many different ways can five friends sit for a photograph of five chairs in a row? * O 120 O…

A: To find the number of ways in which five friends can sit for a photograph in five chairs in a row.

Q: A committee has 20 people. In how many ways can a President, Vice-President, and Secretary be chosen…

A:

Q: in how many ways can 7 volunteers be assigned to 7 booths for charity bazaar?  a. 10080 ways b.…

A: We have to find the no of ways

Q: If Mahmood has 24 cars in his company and every year he adds 6 cars, then how many cars will he own…

A: 22) If Mahmood has 24 cars in his company and every year he adds 6 cars, then how many cars will he…

Q: How many 2-digit numbers can you make using the digits 1, 2, 3, & 4? (Repetition is allowed) * O 60…

A: We need to create 2-digit numbers using 1, 2, 3, and 4. So,       number of 2-digit numbers =…

Q: 3. How many 3-digit numbers can be formed from the digits 1, 2, 3, 5, 6, 7, 8 and 9 if repetition of…

A:

Q: How many numbers greater than three hundred can you make out of the numbers 4, 3 and 2 (without…

A: We need to find that, how many numbers greater than 300 can be made out of the numbers 4, 3 and 2…

Q: A boy owns 5 pairs of pants, 7 shirts, 3 ties, and 3 jackets. How many different outfits can he wear…

A: Given that  A boy owns  5 Pairs of pants 7 shirts 3 ties 3 jackets

Q: 1. How many ways can you arrange 4 people in a row? 36 O 24 16 O 120

A: We know that  We can arrange n people  n!= n×(n-1)×(n-2) .........2×1

Q: In how many ways 5 passengers can sit in a compartment having 16 vacant Example 39. seats?

A:

Q: If 6 horses are racing at a track, how many ways can 3 horses take place in the top 3 places? O 18 O…

A: Given: Number of horses = 6

Q: A license plate consists of two letters and three digits. How many different plates can be made if…

A: no.of digits (0 to 9)=10no.of letters (A to Z)=26

Q: How many ways can a committee of 4 be selected from a club with 12 members? O A. 248 О В. 24 С. 495…

A: GivenNo.of members=12

Q: In a certain suburban neighborhood, 20 families own minivans, 27 families own BMW sedans, and 9…

A: Let nM and nB be the number of families own minivans and the number of families own BMW sedans…

Q: In how many ways can 10 engineers and 4 doctors be seated at a round table if all the 4 doctors do…

A: Introduction: There are 10 engineers and 4 doctors who seat at a round table.

Q: A family has 6 kids. In how many ways could the parents have the three boys and three girls?

A:

Q: A family with 9 members sit in a round table for dinner. How many ways can the member of the family…

A:

Q: 10) Out of the 7 finalists, how many ways can we give awards for First, Second, and Third? O 210 105…

A:

Q: If Mahmood has 16 cars in his company and every year he adds 6 cars, then how many cars will he own…

A: Initial no of cars =  16 cars every years he adds 6 cars. so he added total cars in 8 years = 8 x 6…

Q: How many dierent 6 card hands can be dealt from a deck of 52 cards

A: This question related to the topic combination.

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.