Ann has collected 20 beautiful blue marbles pebbles on her last summer vacation. Her mother gave her permission to take only 4 pebbles for her friends. Each of the marble is coded with numbers as 1,2,...20. As 2 is her favorite number, she wants to select pebbles

Q: In how many ways will Namjoon get a pair of polka dots?

A: here given, In Namjoon’s drawer, there are 7 identical pairs of purple socks that is 14 socks , 10…

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Q: David has bought 4 tickets for a concert. 1 is for himself. The other 3 he will give to 3 friends to…

A: If, there are n items and need to select r items among them, we can select them in Crn=n!r!×(n-r)!…

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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…

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A: Remark: We know the number of different permutations of n distinct objects taken r at a time is nPr…

Q: Find the number of diffcrent ways that 6 boys and 4 girls can stand in a line if () all 6 boys stand…

A: Number of boys= 6 Number of girls= 4

Q: A Zoom class has 48 students, and for an in-class activity they will be going into breakout rooms in…

A: a) The number of different breakout room assignments if the breakout room numbers matters is,…

Q: t is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8. If each number is used…

A: Given Information: It is desired to write a 3-digit number using the numbers 2, 3, 4, 5, 6, 7, 8.…

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Q: In the local boating pond there are 11 plain wooden boats, each with a different number. The owner…

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Q: Assume that you have a committee of 11 members, made up of 6 men and 5 women. In how many ways can…

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Q: Kathleen had a bag of candy-coated chocolates. Of the 60 candies in the bag, 20% were red, 30% were…

A: Given: Kathleen had a bag of candy-coated chocolates. Of the 60 candies in the bag, 20% were red,…

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Q: In a recent survey of 100 students, 38 said that they took a Math class as a freshman, 49 said that…

A: Follow 2nd step.

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A: Out of 20 photos, Lee wants to select 9 photos. As selection only matters, the number of ways…

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Q: he manager of a theatre want s to know whether the majority of his patrons are adults or children.…

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Q: A theater charges P 360 for adult and P 150 for children for one advanced movie screening. If the…

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Q: How many three-letter "words" can be made from 8 letters "FGHIJKLM" if repetition of letters (a) is…

A: Permutation: It defines the number of possible ways an object can be arranged or ordered. The…

Q: Mr. W wants to divide a class of 20 students into 5 groups of 4 for a same task, In the class, Peter…

A: Given information total number of students =20 Number of students in a group =4 Total number of…

Q: You have an ID number containing from 9 digits. How many IDs get the number “6” as their second or…

A: The set A or B is represented as A∪B . The set A and B is represented as A∩B .

Q: Mrs. Wong planted 3 tulips for every 4 daffodils. Which of the following could be the total number…

A: Please go through the solution.

Q: Each marble bag sold by Deshaun's Marble Company contains 5 orange marbles for every 6 green…

A:

Q: The first box contains 5 apples, the second box contains 7 apples, the third box contains 9 apples…

A:

Q: Kathleen had a bag of candy-coated chocolates. Of the 60 candies in the bag, 20% were red, 30% were…

A: In certain situations we have to find the part of the part of a whole. In this case, we find one…

Q: Determine the number of ways such that 5 men and 5 women be seated at a round table if no two women…

A: No. of men = 5  No. of women = 5

Q: Dianne has 3 different math books and 4 different geography books. Determine the number of ways all…

A:

Q: A grocery pick-up service has 12 appointment openings one morning. If 8 customers have signed up…

A: Combinations: It defines the number of possible ways an object can be selected from a group. In…

Q: You need to have a password with 55 letters followed by 22 odd digits between 00 and 99, inclusive.…

A: In this context, it is appropriate to have a password with 5 letters followed by 2 odd digits…

Q: Find the number of ways in which 5 economics books, 3 history books, and 2 mathematics books can be…

A: See the detailed solution below.

Q: The intention is to form a committee consisting of 5 persons from BIM, a group of engineers and…

A: There are 10 engineers and 4 technicians. Thus, total number of individuals in the population is, n…

Q: Your friend hands you his iPhone and wants you to attempt to unlock it on the first try. How many…

A:

Q: If I got 8 out of 12 answers the same as a classmate, is it possible for me to get no answers…

A: According to the provided information, 8 out of 12 answers the same as a classmate.

Q: A boy has 2 red, 3 yellow and 3 green marbles. In how many ways can the boy arrange the marbles in a…

A: We have to ans question 1 and 2

Q: Each marble bag sold by Raina's Marble Company contains 3 orange marbles for every 4 blue marbles.…

A:

Q: Of the first 5 vehicles in the teacher’s parking lot last Tuesday, 2 of them were minivans. Based on…

A: 48

Q: Given 9 digits,   1,23,4,5,6,7,8,9, how many 3-digit numbers could be formed without repetition of…

A: Given ,total no.of digits=9 (1 to 9)

Q: Rachel would like to change her profile picture in her facebook account. She looks at her currently…

A: To find the total number of days can she go without repeating a picture.

Q: * For the first four letters in the English alphabet, a. list the possible permutations of three…

A: (a)Here, order matters. Therefore permutation rule can be applied.

Q: In Yoongi’s drawer, there are 7 identical pairs of brown socks and 9 identical pairs of green socks.…

A:

Q: Luiza has 10 different keys. In how many ways can she arrange the keys in a key chain?

A: luiza has 10 different keys .in how many ways can she arrange the keys in a key chain?

Q: You have an ID number containing from 8 digits. How many IDs get the number “5" as their second or…

A: digits are : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9   (total 10)  so for ID containing 8 dugites we will have…

Q: Sakura wants to create an identification code consisting of four letters followed by three digits.…

A: Given that code is to be made with 4 letters and 3 digits.

Q: Dr. Volz gave an exam with 14 questions, but students only had to answer 10 of them. Suppose the…

A: We have to use combination formula. Formula : Crn = n!r!(n-r)!

Q: With six card, each card has 32 numbers on it. If Fraudini added two new cards (and updated the old…

A: Given Six card with 32 numbers in them as shown below1)Here the trick is Fraudini ask to pick any…