7! 35 ways 3 4!3!

Q: A casting director wishes to find one male and one female to cast in his play. If he plans to…

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Q: A group of 10 friends go out for dinner at a fancy dining room and they each leave their hat with an…

A: In the given question we have to calculate the ways by which the hats can be given to each friend.

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

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A: As per the guidelines I had solved the questions with maximum of three sub parts.kindly repost the…

Q: . A student council consists of 8 students, with 3 women and 5 men. a. In how many ways can a…

A: Q c asked and answered.

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

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Q: How many ways can the letters of the word MAILBOX be arranged in a row if M and A must remain…

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Q: 2. How many different committees of 4 members can be formed from a group. with 7 seniors and 6…

A: Permutations is the collection of items or elements arranged in a different way with ordering where…

Q: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…

A: here use counting principle

Q: In a middle school class, there are 7 students. A) In how many ways can all 7 students be arranged…

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Q: f n ∈ n and n<2000 , how many numbers n have the property that the sum of the digits of n and the…

A: Given, if n∈ℕ and  n&lt;2000.

Q: In how many ways can 10 balls be placed into 4 boxes with no box being empty if: a) the 10 balls…

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Q: a contractor builds homes of 9 different models and presently has 3 lots to build on. In how many…

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Q: A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the same…

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Q: Suppose a class has 25 students and there are 10 males and 15 females. A committee of size 5 is to…

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Q: In a birthday party, 2/3 of the children were 8 years old, 2/3 of the remaining are 9 years old, and…

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Q: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…

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Q: How many different 7-letter words can be made a. if the first letter must be B or X and no letter…

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Q: an insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

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Q: 41 children need to be assigned to five Tee ball teams. The league wants each team to have 8…

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Q: mball machine dispenses 5 varieties of gumball (red, blue, green, yellow, and pink). How many…

A: a. The collections of 10 gumballs, at least 6 of which are red are ,  The cases obtained are  6 red…

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Q: Suppose we want to choose 2 letters, without replacement, from the 4  letters A, B, C, and D. How…

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Q: a. How many different license plates did this system​ allow?   b. More license plate tags were…

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Q: 2. Answer the following below: i. In how many ways can 3 runners be selected from a group of 10…

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Q: Suppose a milling machine may suffer failure at 12 different locations. The number of ways a…

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Q: Suppose that your friend owns 9 PlayStation games and you would like to borrow 4 of these games. In…

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Q: A teacher wants to assign 4 different tasks to her 4 students. In how many possible ways can she do…

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Q: In how many ways can a subcommittee of seven be chosen from a Senate committee of seven Democrats…

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Q: A) 15 people are playing soccer, only 3 people know how to be a goalkeeper, how many ways are to…

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Q: Consider a Little League team that has 15 players on its roster. Suppose 6 of the 15 players are…

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Q: There are 387 students who are enrolled in an introductory geology course. If there are four boys to…

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Q: How many ways can four of the letters of the word MAILBOX be selected and written in a row if the…

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Q: Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can…

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Q: ent Painters, which specializes in painting the exterior of residential buildings, has five people…

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Q: How many three numbers with no repeated digits, can be formed by the use of the digits 0, 2, 3, 4,…

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Q: A committee of 3 men and 3 women are to be chosen from a group of 7 men and 6 women. The oldest of…

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.