Suppose that you have 3 red Jolly Ranchers, 6 yellow Jolly Ranchers, 1 green Jolly Ranchers, and you are hanging out with 10 friends. Assuming that the Jolly Ranchers of the same color are indistinguishable, how many ways can you give one Jolly Rancher to each of your friends? This is a discrete math problem so we might have to use permutation.

Q: Suppose we select 3 students randomly out of a class of 10 students to read a  paper from the…

A: Combination:   It is nothing but the objects are being selected when the order of selection is not…

Q: Suppose that a password for a computer system must have at least 6, but no more than 9 characters,…

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Q: 3. Show that the weighted arithmetic mean of first n natural numbers whose weights are equal to the…

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Q: How many ways are there to assign 100 different diplomats to five different conti- nents if 10…

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

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Q: uppose there are 6 freshman, 10 sophomores, 12 juniors, and 14 seniors running for the offices of…

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Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, and 9, which are divisible by 5,…

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Q: A code have 4 digits in a specific order. The digits are between 0-9. How many different…

A: Code = 4 digits No. of available digit = 10 Repetition = not allowed Order is important, so we will…

Q: uppose that there are eight runners in a race. The winner receives a gold medal, the second place…

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Q: Suppose there seven people at a party. Is it possible that everyone at the party knows exactly three…

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Q: How many permutations of the numbers (1, 2, 3, 4, 5, 6, 7, 8, 9} have the numbers 4, 5 and 6 in…

A: So, the numbers 4, 5 & 6 should remain at their natural position and the other numbers can…

Q: Prove that a three-digit number is a multiple of 9 whenever the sum of the digits is a multiple of…

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Q: Answer each permutation problem completely. 1. During ECQ, only 1 family member is allowed to leave…

A: Hi there, Since you've posted multiple questions, we'll solve the first one as per our policy.…

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Q: These are all related to permutations, so I hope all three can be answered per your ruling. Thanks!…

A: Given : 3 Situations Where use permutation formula

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Q: Find the total possible number of 5 letter words such that they are alphabetically first in the…

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Q: An Uber XL can hold between 1 and 4 people. One September evening, 5 distinct and random people need…

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A: Given: Total number of people=26Number of people selected=4 The permutation formula is applied when…

Q: Answer each permutation problem completely. 1. In how many different ways can 7 bicycles be parked…

A: Given: There  are 7 bicycles and 5 parking spaces

Q: How many permutations of {1,2,3,4,5,6,7,8} have exactly 15 inversions?

A: Introduction: The permutation is {1, 2, 3, 4, 5, 6}. The inversion sequence of the given permutation…

Q: Find the number of different ways to rearrange letters in the word PERMUTATION such that all the…

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Q: n how many distinct ways can the digits in the number 1,243,520,326 be arranged? (If there are any…

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Q: In how many ways can the letters of the word PLACES be rearranged so that the resulting letter…

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Q: How many ways can you select 4 numbers between 0 and 19 so that no two are consecutive? Hint: Can…

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Q: How many 4-digit pin codes can be made using the numbers 0 up to 9 if repetition is not allowed and…

A: Solution Total number of digits from 0 to 9 = 10

Q: Suppose that in a particular Finite course, 4/7 of students plan on majoring in math, 25/42 plan on…

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Q: There are 5 pocket holes at the periphery of a round horizontal platform. In how many ways can 5…

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Q: In how many ways can 4 t-shirts, 7 denims, and 4 coats be arranged in a clothing store shelf section…

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Q: 6.2.2 Show that if there are 30 students in the class, and at least 2 have a last name that begin…

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Q: In how many ways can a person select seven party guests from 12 women  if he is to avoid having a…

A: Here we will use the concept of Combination

Q: How many strings of five uppercase English letters are there (a) that start with an X, if letters…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: How many three-digit numbers can be constructed from the digits 0, 1,2,3,4,5,6,8,9 if the number…

A: Given digits is0, 1, 2, 3, 4, 5, 6, 7, 8, 9Total no.of digits=10

Q: Suppose that 150 people celebrated their birthday in three months, where 65 people celebrated their…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: How many six-number combinations can be generated from the numbers from 1 to 42 inclusive, without…

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Q: A man finished a job in 5 days. On the first day, he finished 1/m of the job. On the second day, he…

A: GIVEN THAT JOB FINISHED = 5 DAYS