a) How many different ways are there to make a passcode? b) How many outcomes are there where the special character is #? b) How many outcomes are there where the 4 digits are all less than 3? c) How many outcomes are there where all the letters are the same?

Q: 9 children are to be seated on a bench. How many ways can the children be seated and ordered on the…

A:

Q: When ordering a certain type of computer, there are four choices of hard dnve, five choices for the…

A:

Q: a) How many 3-digit numbers that are multiples of 5 can be formed from the six digits 2,3,5,6,7 and…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY  HERE USE SELECTION THEORY

Q: h) How many ways can someone pick out who they think will finish 1st and 2nd in a car race with 8…

A: By using permutation and combination

Q: In how many ways can a student choose to do 7 questions out of 8 on a test?

A:

Q: ... Question 2 / (1.5 Marks) What is the number of ways that 15 people can be seated in a circle?

A: In question, We find the number of ways that 15 people can seated in a circle. The solution is…

Q: is) In your drawer, you have 7 pairs of different socks, all mixed together. In total dark- ness,…

A: Given that, A drawer is having 7 pairs of different socks. That means overall 14 socks are present.

Q: In how many ways can seven people be seated at a round table if 2 particular people must not sit…

A:

Q: In how many ways can a baseball coach prepare a batting order if: The coach still has to select the…

A: From the provided information, Total players = 12

Q: low many ways are there to select 4 players from 10 members to represent the team in a tournament?…

A:

Q: In how many ways can the letters in the word TENNESSEE be arranged?

A: Introduction: The term permutation refers to a mathematical calculation of the number of ways a…

Q: Dawson decides to make 3 - letter codes from the letters (M. A. THIS.F .U.N) with no letter…

A: The given letter is MATHISFUNThe number of letters in the given combination = 9Number of vowels in…

Q: Solve the problem. How many different five-card hands can be dealt from a deck that has no face…

A: For the given problem, the total number of cards in the pack of cards is n=40The number of cards…

Q: In how many ways can 5 persons be seated in a room where there are 10 seats?

A: We have to find number of ways to seat people in room.

Q: Three-digit numbers are formed from the digits 0,1,6,7,8 and 9 if no repitition is allowed a. how…

A: given digits  0 1 6 7 8 and 9  i.e., a total of 6 digits are given and repetition of digits is not…

Q: In how many ways can 10 engineers be seated in a round table?

A: From the provided information, Total number of engineers = 10

Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: In how many ways may Ana select 5 of her 10 friends to attend her birthday party? In how many ways…

A: Here use combination

Q: In how many ways can 15 different pizza toppings be chosen from 22 available toppings? There are…

A: No. of available toppings=22No. of pizza toppings to be chosen=15

Q: How many ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

Q: license plates contain 3 letters followed by 4 digits. a. how many license plates are possible? b.…

A:

Q: Out of 800 families with 5 children each how many would you expec to have i) 3 boys (ii ) either 2…

A: Given: Total number of families=800Number of children=n=5

Q: Passwords can have 7 characters. Each character can be an uppercase or lowercase letter, a digit…

A: (a) If any character can be used in any position we have 26 uppercase letters 26 lowercase letters…

Q: In how many ways can a student choose to do 5 questions out of 11 on a test?

A: The question is based on permutation. We need to find the number of ways a student can choose 5…

Q: a round table?

A: It is given that 11 people have to sit in a round table. Using the circular permutation property, If…

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given information: Total number of dogs(D)=3. The number ways can 3 dogs arranged is 3!. Total…

Q: 8 people are trying out for 3 cheerleader spots on the team. In how many ways can this be done?

A: 8 people are trying out for 3 cheerleader spots on the team. In how many ways can this be done?

Q: How many different three-letter arrangements can be formed using the letters A, B, C, and D if…

A: The given problem is a question about permutations, a fundamental concept in combinatorics, a branch…

Q: A coin is tossed 12 times. a)   How many different outcomes are possible? b)  How many different…

A: Answer:-  A coin is tossed 12 times. There are two possible outcomes either head or tail. a)Number…

Q: How many four letters code words are possible using the letters in COIN, if (i) the letters may not…

A:

Q: Five separate awards are to be awarded to selected students from a class of 20. How many different…

A: Given that, Five separate awards are to be awarded to selected students from a class of 20.

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: an ATM personal identification number consists of 3 digits. 0,1,2,...,8 or 9 in succession. how many…

A: GivenMake 3 digit with the help of 0,1,2,3,4,5,6,7,8,9

Q: 6. How many ways can my daughter put 50 pairs of shoes on 4 dolls ?

A: It is given that, We have 50 pairs of shoes and there are 4 dolls. We know that if n object can be…

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