How many different ordered sequences of 3 digits can be arranged out of the number digits? b.How many different ordered sequences of 3 letters can be arranged out of the letter digits? c.If a license number is selected randomly, what is the probability that yours is the one selected?

Q: How many different sequences or orders of visiting these four plants are possible? In how many…

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Q: In how many ways can a party of 5 persons arrange themselves in a row of 5 chairs?

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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: 6. The varsity soccer team has 20 players. Three of the players are trained to be goalies while the…

A: Given data : Total number of player = 20 Number of goal keepers =3  Remaining player = 17

Q: Suppose that 50 people buy raffle tickets. a. In how many ways can 4 people who bought tickets be…

A: a) If each is to receive a $20 gift certificate to a restaurant then the arrangement does not…

Q: 2. Civil Engineers at a large convention are offered 6 construction tours on each of 3 days. In how…

A: Given : Number of tours = 6 Number of days = 3

Q: In how many ways can a  friend visit his 3  friends  if he must visit all of them in a single day

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

Q: Suppose that in a class, there are n many boys and n many girls. Among these 2n many people, we will…

A: Let A be a set of n elements. To select r objects from a collection of n elements in the set A…

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

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Q: A race has 10 runners. In how many ways can the first three places be decided?

A: Here use combination

Q: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow 1, 1 black ball and 1 green…

A: Given :  jack has 1red ,1 blue,1 orange,1 yellow,1 black and 1 green ball then no of arrangement to…

Q: 7) Suppose that a class of 20 students is assigned to write an essay. Suppose 4 essays are picked at…

A: Total number of students in class = 20 Number of essays to be picked at random = 4

Q: A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available…

A: Given,no.of swimmers=6

Q: XI In a group of 11 boys and 9 girls, 5 are to be selected. In how many ways can they be selected…

A: According to the answering guidelines, we can answer only one question at a time and the rest can be…

Q: Eight cards are marked with the numbers 1, 2, 3, 4, 5, 6, 7, and 8​, then​ shuffled, and two cards…

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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: In how many ways can a party of 7 persons arrange themselves in a row of 7 chairs?

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Q: A committee of 5 students is to be selected from 16 students in a fraternity. a. In how many ways…

A: Given that a committee of 5 students is to be selected from 16 students in a fraternity. a We have…

Q: Suppose you are asked to list, in order of preference, the three best movies you have seen this…

A: The number of possible permutations if r item are taken from n item isnpr=nn-r…

Q: In how many ways can 12 different books be distributed among four chi dren so that (a) each child…

A: Given: Number of books = 12 Number of children = 4

Q: 20. Selecting a pair of red socks on three successive days from a drawer that originally has 5 pairs…

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Q: A shop has 6 types of candy. How many ways are there to select 24 pieces of candy with at least two…

A: The combination principles can be used to select a number of objects from a bundle. The number of…

Q: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow ball, 1 black ball and 1 green…

A: Given that  Jack has  Red ball = 1 Orange ball = 1 Blue ball  = 1 yellow ball = 1 black ball = 1…

Q: (a) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible…

A: Since multiple parts given, part a and b are answered. Please repost for more help.

Q: A combination lock uses three numbers between 1 and 46 with repetition, and they must be selected in…

A: Answer is option D

Q: Consider the letters a, b, c, d, & e .  In how many different ways can three letters be selected and…

A: Consider the letters a, b, c, d, & e Total 5 letter  ways to select three letter will be 5C3 =…

Q: shows houses to a potential buyer. There are ten houses of the desired price on a list for the area.…

A: Number of ways one could choose three houses from 10 houses, if the order of visit is considered…

Q: 1. In how many different ways can you arrange five flags in a row if there are two red flags and…

A: Total no.of flags can be arrange in a row = 5 No.of red flags = 2 No.of blue flags = 3 The no.of…

Q: A student wants to buy 3 CDs. Assume that they are interested in 6 CDs featuring the piano, 4 CDs…

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Q: In a particular lottery, 8 winning numbers are drawn from a group of 53 numbers. The order that the…

A: Total numbers of lotteries are 53. The total winning number are 8.

Q: A student wants to buy 3 CDs. Assume that they are interested in 6 CDs featuring the piano, 5 CDs…

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Q: A student wants to buy 3 CDs. Assume that they are interested in 6 CDs featuring the piano, 4 CDs…

A: Given Data : Number of Piano CDs are 6                       Number of Trumpet CDs are 4…

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: In how many ways can the letters in the word sequences be arranged if the first letter must be Q?

A: There are 9 letters in the word sequences.   Letter Frequency s 2 e 3 q 1 n 1 c 1 u 1…

Q: 7. Suppose you have 15 CDs from which you choose 6 CDs to put in the CD player in your car. If you…

A: As per guidelines expert have to answer first question only dear student please upload other…

Q: A student wants to buy 3 CDs. Assume that they are interested in 3 CDs featuring the piano, 6 CDs…

A: In this context, the total number of CDs interest by a student is 14(=3+6+5).a.The number of…

Q: four cards labeled a,b,c and d are randomly placed in four boxes labeled a,b,c, and d. each box…

A: For first card there are 4 choices for next one there will be 3 choices and so on,...

Q: 2. Show that the combination of choosing r items from a set of n items has the same possible…

A: Combination can be defined as the number of ways of merging things disregarding of their orders.  It…

Q: Suppose that two letters are to be selected from A, B, C, D, and E and arranged in order. How many…

A: Given: Two letters are to be selected from A, B, C, D, and E and arranged in order. There are in…

Q: Mr. Gardose buys chocolates in boxes of 48 and then puts them into groups of 11. If he buys 93…

A: Given 1 box = 48 chocolate Groups of 11 to be put

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 10 topping from which…

A: this is a combination problemtotal number of topping=10number of topping can be chosen=5so number of…

Q: a. How many different ways can these bands be arranged to perform? b. If band 3 is performing first…

A: It is widely used in statistics . It is a fact of combinatorics .

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

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Q: 1. In how many ways can a a boy and a girl be selected from a group of five boys and six girls? 2.…

A: According to bartleby policy I have solved first question. I hope it will help you...

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

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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: 8. Find the number of different salads consisting of one or more of these vegetables – Tomatoes,…

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

Q: In a certain state license plates are formed by choosing 2 letters followed by 4 digits where…

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Q: . I selected 10 letters fromp a bag of letter tiles. In this case, all ten of the letters are…

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