a coin five times, how many ways ca

Q: A quiz consists of 3 true-or-false questions.  In how many ways can a student answer the quiz?

A: Given that there are 3 true or false questions. Each question has 2 possible outcomes. That is true…

Q: A catering service offers 12 appetizers, 5 main courses, and 11 desserts. A customer is to select 11…

A: Crn = n!r!n-r!

Q: There is a horse race with 7 horses in the race. How many ways can we have the horses finish the…

A: Given that The number of horses participating in a horse race is 7. To find the ways can we have the…

Q: . A zip code contains 5 digits. How many different zip codes can be made with the digits 0–9 if no…

A: Given; Total number of digits=5Condition- First digit is not zero and no digit is repeated.

Q: Five flags are posted in a row. In how many ways can these flags be posted if the Philippine flag…

A: Number of flags posted in the row. Philippine flag is at center.

Q: A fair coin is tossed 5 times and the sequence of heads and tails is observed. How many outcomes…

A:

Q: there are 50 runners in a race. how many ways can the runners finish first, second, and third?…

A: given  there are 50 runners in a race. how many ways can the runners finish first, second, and third…

Q: 4 people rent a house that has 4 bedrooms. How many ways are there to assign the bedrooms to the…

A: 4 people 4 bedroom

Q: How many ways are there to have four puppies that all have pointy ears? 1 2. 3

A: Given information: P(pointy)=0.25 P(floppy)=0.75 An ultrasound reveils that your new Statspoodle…

Q: A bag contains 6 red balls and 4 white balls. In how many ways can one draw: 2 balls of different…

A: Given data, Number of red balls=6 Number of white balls=4 In how many ways can one draw 2 balls of…

Q: five-digit-numbers can be formed from the six digits 2, 3, 5, 6, 7 and 0. If repetitions are not…

A:

Q: In certain state the license plates all consist of 2 letters followed by 3 digits. a. How many…

A:

Q: A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can…

A: The explanation of answer as follows :-

Q: A license plate in a certain county consists of 4 letters followed by 3 single digits.  How many…

A: Permutation is deals with arrangements. It is used to calculate the number of ways a certain number…

Q: A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can…

A: Consider the number of winners is 11. Consider the number of possibilities of silver is 11. The…

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

A: Here use combination

Q: How many two-digit numbers can be formed from the digits 1, 2, 3, and 4 if a. no digit is repeated…

A: Given that, Digits are given 1, 2, 3 and 4 a) Two-digit numbers with no digit is repeated: Two-digit…

Q: our children are chosen from a class of 30 for a survey.

A: Given that  Total children in class (n) = 30 Number of children to choose (r) = 4   By Combinations…

Q: A bag contains 11 pieces of candy. In how many ways can four pieces be selected? way(s)

A: To find: The number of ways of 4 pieces of be selected.

Q: In one class 18  students play basketball, 14 students play soccer and 10 students play volleyball.…

A: You can solve this question using the Venn diagram.

Q: How many ways can a person toss a coin 15 times so that the number of heads is between 8 and 13…

A: Since , the coin is tossed 15 times. Our aim is to find the number of heads is between 8 and 13…

Q: A small town have five police cars: when a call comes in the dispatcher may dispatch no cars, one…

A: Given that there are 5 cars.  The dispatcher may dispatch no cars, one car, two cars, three cars,…

Q: An office building has six doors. In how many ways can a person enter the building through a…

A: When a number of things are arranged in some order or a rearrangement is made for those things, this…

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: Three married couples have purchased tickets for a play. Spouses are to be seated next to each…

A: Given :  Three married couples purchased tickets.                 To find  :  How…

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

A:

Q: 20 persons are sitting around a table. How many ways can we choose 3 persons, no two of whom are…

A: Obtain the number of ways of choosing 3 persons, no two of whom are neighbors. The number of ways of…

Q: A Factory building has six entrance doors. In how many ways can a person enter and leave a.)  By any…

A: A factory building has six entrance doors. a) By any door In this case person enter in 6 ways and…

Q: There are 6 runners in a race. In how many ways can 3 runners finish in first, second, and third to…

A:

Q: Your daughter invited three couples to watch a  theater musical sponsored by my husband. If the 6…

A: Given that  Number of VIP guests = 6  = ( 3 couples ) If the 6 VIP seats arranged in a row are given…

Q: A baseball team has 13   players. How many 9​-player batting orders are​ possible?

A:

Q: A telephone number consists of 7 digits. How many phone numbers are possible if the first digit is…

A: Solution: The digits other than 4, 3, 2, 1, 0 are 5, 6, 7, 8 and 9.

Q: A student has 10 books to arrange on a shelf of a bookcase. In how many ways can the 10 books be…

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

Q: A state makes license plates with three letters followed by two numbers with no repetitions of the…

A: In general, the number of letters from A to Z is 26 and the number of digits from 0 to 9 is 10.

Q: A  locker combination system uses four digits from 0 to 9. How many different four-digit…

A: A  locker combination system uses four digits from 0 to 9. To find how many different four-digit…

Q: How many different ways can the podium be arranged? (The podium has a spot for only the 1st, 2nd and…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: There are 50 guests in a party. If each guest shakes hands with all other guests, how many…

A:

Q: Five cards are drawn from a standard deck of 52 cards. How many hands of five cards contain exactly…

A: Total hands of five cards contain exactly one spade​ = 13*82251 = 1069263

Q: A state makes license plates with three letters followed by three numbers with no repetitions of the…

A: Permutation:It defines the number of possible ways an object can be arranged or ordered. The formula…

Q: How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros?…

A: How many seven-digit telephone numbers are possible if the first two digits cannot be ones or zeros?…

Q: In how many ways can we choose 5 students from 7 boys and 5 girls?

A:

Q: license plates in a particular state display 2 letters followed by 3 numbers. how many different…

A:

Q: A poker hand consists of 5 cards selected from a deck of 52 cards. How many poker hands consists of…

A: Here, order does not matters. Therefore combination rule can be applied.

Q: You flip a coin six times and keep a record of the results. In how many ways could you obtain at…

A:

Q: A club with twelve members is to choose three officers: president, vice-president, and…

A: It is given that, A club has 12 members and we have to choose three officers as president,…

Q: At a birthday party 34 guests are in attendance and 4 of them are randomly chosen to each receive a…

A:

Q: in poker, how many ways can you get three aces and two 3's

A:

Q: 2. In a certain country, license plate numbers have 3 letters followed by 3 digits. How many…

A: here use counting principle  for combination  nr = n!(n- r)! r!

Q: How many possible ways can five different pictures be hung along a wall?     5     120     50…

A: GivenNo.of pictures =5