89. Selecting Prizewinners From a group of 30 contestants, six are to be chosen as semifinalists, then two of those are chosen as finalists, and then the top prize is awarded to one of the final- ists. In how many ways can these choices be made in sequence?

Q: 5. When ordering a certain type of computer, there are 3 choices of hard drive, 4 choices for the…

A: 3.  choice of hard drive   4.  choice for the amount of Memory   2.  choice of video card…

Q: 9. How many ways can you arrange the letters from the word following words? a. CODES b. CABLES c.…

A: Note:- We’ll answer the 9th question since we answer only one question at a time. Please submit a…

Q: |In how many ways can a photographer at a wedding arrange 6 people in a row from a group of 9…

A: Combination is the arrangement of data without any order. It can arrange data from the sample from…

Q: How many two-digit numbers can be formed from the digits 2, 4 and 6 if a. no digit is repeated in…

A:

Q: In how many ways can first, second, and third prizes be awarded in a contest with 365 contestants

A:

Q: 2. In how many ways can 9 persons be seated in a round table with 9 chairs? 3. In how many ways can…

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

Q: 2. How many ways can 10 books be arranged in a shelf if one of them is a bible and it must be placed…

A: Given that, 2.  10 books be arranged in a shelf & one of them is a bible and it must be placed…

Q: In how many ways can a commitee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: 8 juniors and 10 seniors

Q: How many seven-digit numbers can be formed with the first two digits odd and the last five digits…

A: The total number of digits from 0 to 9 is 10.

Q: 13 In how many ways can first 5 prizes be rewarded to 15 students if each student is entitled to…

A: total prizes = 5 students available =15

Q: What if the jelly bean machine gives 3 jelly beans to the first customer who put in a coin, 4 to the…

A:

Q: 7. In how many ways can seven men and six women be arranged in a row so that the women occupy the…

A: Given, In an arrangement,Total men=7Total women=6 To find: Total ways of arrangement so that women…

Q: 17. The number of 3-digit numbers less than 500 that can be created if the last digit is either 4 or…

A: We have to form 3 digit numbers less than 500 with last digit is either 4 or 5

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

A:

Q: In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: Solution: Let L1 and L2 be the first two letters of a license plate.  For L1 we have 26 options…

Q: How many 4-digit numbers can be formed from the digits 1,3,5,6, 8 and 9 if no repetition is allowed

A: Given : No. of digits (N) = 6 Digits : 1 , 3 , 5 , 6 , 8 , 9 4-digit no. can be formed i.e n = 4

Q: 2. A teacher wants to randomly choose 5 people from the class of 30 to help out at the open day BBQ.…

A: No.of students in a class, n = 30 No.of people chosen from the class to help out at the open day…

Q: How many 4 digits numbers can be formed from digits 1, 2, 3, 4 and 5 if no repetition is allowed and…

A: Answer:  48 Here we want to form a four digit number from 1,2,3,4 and 5 and number should be between…

Q: . In how many arrangements can 7 women and 7 men be placed in a line if all the women line up first?…

A:

Q: If repetitions are not permitted, how many 3-digit even numbers can be performed from the six digits…

A:

Q: Ten prizes are to be given to 10 different people in a group of 16. In how many ways can a first…

A: Given that there are 10 prizes and 16 people.  So the first prize can be given to any of the 16…

Q: Suppose that 9 horses run a race. How many first-, second-, and third-place finishes are possible?

A:

Q: Certain automobile license plates consist of a sequence of three letters followed by four digits. If…

A: We have a license plate that consists of a sequence of three letters followed by four digits. The…

Q: 1. How many 3-letter words with or without meaning, can be formed out of the letters of the word,…

A: 1. There are a total of 7 letters in the word 'MACHINE' If the repetition of letters is not allowed,…

Q: How many five​-digit numbers can be formed with the first two digits odd and the last three digits…

A: The number of digits need to be formed is five. The first two digits are odd and the last three…

Q: 2. At Mang Amang's Eatery, you can choose from 7 viands, plain or fried rice, 3 kinds of beverages…

A:

Q: A pin number is formed by choosing an ordered sequence of 4 digits from the set {0–9} where…

A: A 4 digit pin is constructed from the set {0-9} where repetition are not allowed but numbers…

Q: 8 members of a wedding party are lining up in a row for a photograph. (1) How many ways are there to…

A: There are 8 members. They have to stand in a line for photograph. To find: a) Number of ways,…

Q: 5. In a group of 15 students, 5 of them are female. If exactly 3 female students are to be selected,…

A: Some of formulas of Permutation and combination n!=1·2·3..... ·n n!=n ·(n-1)! Prn=n!(n-r)! Crn=n!r!…

Q: 9 Certain automobile license plates consist of a sequence of three letters followed by four digits.…

A: Given that Certain automobile license plates consist of a sequence of three letters followed by four…

Q: 7. How many numbers less than 7000, with no repeated digits can be formed by use of the digits 0, 3,…

A:

Q: What if the jelly bean machine gives 9 jelly beans to the first customer who put in a coin, 13 to…

A: If the initial term of an arithmetic progression is {\displaystyle a_{1}} and the common difference…

Q: 2. In how many ways can five students queue for tickets for a show?

A: The number of ways in which five students queue for tickets for a show is           5!  ways…

Q: How many three-letter code words can be constructed from the first nine letters of the Greek…

A: 60480 three letter code

Q: Assume that a bakery has 7 different types of cakes. How many different ways can 5 cakes of any type…

A: We have total 7 cakes  From the 7 cakes, we have to pick a group of 5 cakes. So the arrangement does…

Q: In a states pick 3 lottery game, you pay $1.43 to select a sequence of three digits (from 0 to 9)…

A:

Q: 14) Twelve people are line up in 2 rows of 6 for a photo. How ways can be arranged if the tallest…

A:

Q: 11 Given the digits 6, 7, 8, 9, a. How many four number digits can be formed if there's no…

A: Given digits are  6, 7, 8, 9 each parts are solved below.

Q: 11. In how many ways can we seat 7 people at a round table with a certain 3 people not in…

A:

Q: A combination lock uses three numbers between 1 and 36 with repetition, and they must be selected in…

A: 1.) Here, three numbers are used between 1 to 36 with repetitions. The all possible ways in which a…

Q: A combination lock uses three numbers between 1 and 88 with repetition, and they must be selected in…

A: Solution: Correct option is C.

Q: Assume that you are to select digits from the set {2,5,6,8,9} to form a number between 20 and 900.…

A: Assume that you are to select digits from the set {2,5,6,8,9} to form a number between 20 and 900.…

Q: 9 athletes are to take part in a race. In how many ways can the first 5 places be filled?

A: Given: 9 athletes are to take part in a race To find the number of ways the first 5 places are…

Q: Suppose a telephone number consists of a sequence of seven digits not starting with a 0 or 1.  a.…

A: From the provided information, The telephone number consists of a sequence of seven digits. a) If…

Q: 2. Ten frontliners are going to get their meal. In how many ways can the 10 frontliners be arranged…

A: (2) Ten front liners are going to get their meal. In how many ways can the 10 front liners be…

Q: In how many ways can four children fall in line if the tallest be the last?

A: In how many ways can four children fall in line if the tallest be the last?

Q: 8. In a gathering, the host makes sure that each guest shakes hands with everyone else. If there are…

A: Given information: Number of guests (n) = 25  Number of handshakes for each guest = n-1Number of…

Q: 4. A photographer is taking a picture of a bride and a groom, together with six sponsors. How many…

A: 4) There are 8 people in total i.e., 6 sponsors and one couple. We are asked to find the number of…

Q: In how many ways can 3 students be selected from a group of 12 students to represent a university in…

A: Given data: Total students = 12 3 students  selected  randomly To find: In how many ways can 3…