A passcode consists of 3 characters chosen from 3 categories: the alphabet, the digits, and the 9 symbols ∼, !, @, #, $, %, ˆ, &, *. How many different passcodes can be created if there must be one character from each category?

Q: You have 8 friends from your high school and 6 friends from the high school across town. How many…

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Q: At a NASCAR racing event, how many different finishes among the first 5 places are possible if 30…

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Q: You need to create a new passcode for your iPhone, their are 10 numbers to choose from and your…

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Q: teacher assigned 35 questions in a test and said that 15 of them will be graded. How many different…

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A: The number is obtained as follows: The number of choosing none of the condiments on a hamburger:…

Q: nts in different ways.

A: We can select 6 different restaurant from 8 is =28 ways

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Q: in a volleyball club there are 5 senior players and 5 junior players. If the team captain election…

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Q: A number is divisible by 2 if

A: A number is divisible by 2 if

Q: Determine the number of ways of selecting one or more letters from the letters ZZzzzzZ?

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Q: Mr. and Mrs. Roger want to name their first baby so that its monogram, first, middle, and last name…

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Q: A coffee shop serves 14 different kinds of coffee drinks. How many ways can 5 different coffee…

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Q: Find the number of different ways that an instructor can choose 4 students from a class of 31

A: There are 31 students in a class room, out of 31 students 4 students can be chosen in 31C4 ways

Q: Your school principal wants to select a group of six students from your class of 15 students to…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: How many different choices of car do you have if a particular model comes in 12 colors and 4 styles…

A: Total car = number of deferent colour x no of style.

Q: Find the distinct number of arrangements of the letters in the word “academia” that begin and end in…

A: letters of word academia we have to arrange letters so that it begin and end with a.

Q: You need to rank 2 types of coffee. How many ways are there to rank them?

A: The objective of this question is to find out the number of ways to rank two types of coffee.

Q: You need to rank 4 types of coffee. How many ways are there to rank them?

A: The objective of this question is to find out the number of ways to rank 4 types of coffee. This is…

Q: From a box containing 8 black, 3 white, and 5 purple marbles, 7 are choser Find the number of the…

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Q: There are 10 different software packages from which to select. How many different groups of software…

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Q: How many different six letter combinations can be made of four consonants and two vowels out of…

A: It is given that there are eight consonants and five vowels.

Q: A new car model is available with 5 choices of color, 3 choices of transmission and 4 types of…

A: From the provided information, A new car model is available with 5 choices of color, 3 choices of…

Q: How many different choices of a car does a person have if a particular model comes in 14 colors and…

A: A particular model of a car has 14 color and 4 style. We have to find the number of choices of a…

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Q: How many ordered lists are there of seven items chosen from eight? ordered lists

A: Given n=8 r=7

Q: Determine the number of arrangements of all the letters in the word SUCCESS.

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Q: The popular Racer Scooter comes in a variety of colorswith lots of options. The customer can choose…

A: Wheel colors = 4 Size = 3 With/without shocks type = 2 With/without wheel =2 With/without foam…

Q: Natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4…

A: Given that  Natasha is in a class of 30 students that selects 4 leaders.  To find Number of ways are…

Q: Find the number of different ways that 995 contestants can win different first, second and third…

A: Given information- We have given that there are 995 contestants. We have to find the number of…