9. [prob26] The number of combinations Cn.r of taking r objects out of n objects is given by: n! Cn,r r! (n – r)! A deck of cards has 52 different cards. Determine how many different combinations are possible for selecting 5 | cards form the deck.

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Q: 3) Sarah writes down random positive integers when she gets bored. Prove that if Sarah writes 1001…

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Q: Again consider a Little League team that has 15 playerson its roster.a. How many ways are there to…

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Q: For sufficiently lazpe n en ns n Zus (en n)

A: According to this question, we know that

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Q: 5. How many strings of 3 characters are there, such that every character is a lower case letter, the…

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Q: A bag contains 4 each of red, blue, green, and yellow balls. How manyways are there to select 8 so…

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Q: (3) Find the formula for the number of ways for putting n identical balls into k distinct boxes so…

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Q: Find the number of permutations using four different numbers (2,5,11,30) if they are taken 2 at a…

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Q: 2. A round-robin tournament, each team plays every other team exactly once. Use mathematical in- n2…

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Q: How many 4-permutations of the multiset {A®, B®,C5,D²} exist?

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Q: 4. Suppose that Mr. H paid $500 for his insurance in 2018. It is expected that every year the…

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Q: A1,...,A13 are thirteen different subsets of {1,2,3,4,5,6,7,8,9,10}. If each Aj has 6 elements for…

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Q: A phone number is a 7-digit that does not start with 0. Call a phone numbers that make up of exactly…

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A: Follow the steps.

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Q: I have a set of 10 intergers (0-9) I have to randomly select 4 Ex - 1, 2,4,5 How…

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Q: A student wants to buy 3 CDs. Assume that they are interested in 6 CDs featuring the piano, 4 CDs…

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Q: 8. In a fruit feast among 200 students, 88 chose to eat durians, 73 ate mangoes, and 46 ate litchis.…

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Q: 3. Is there an element of order 6 in S3? Explain.

A: S5 is a symmetric group of order 5.

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Q: Suppose there are 10 students participating in a workshop that meets every day of a five-day work…

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Q: Tariott Hotel rents rooms for $125 a night that cost approxi-mately $50 per day to maintain.…

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

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Q: . Find the number of permutations of the letters of the word ‘REMAINS’ such that the vowels always…

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Q: In an experiment, there are 5 possible conditions, and you would like each participant to receive 3…

A: Given information 5 possible conditions Each participant to receive 3 out of 5.

Q: A company has 13 employees, and wants to create a team of 7 employees to work on a new project. Th…

A: Given : n = 13  r = 7

Q: How many strings of 1our decimal digits have all four digits that are different?

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: We are making 5-letter words from the set of letters a, b, c, d, e, f..., in such a way that we have…

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Q: In how many ways can you take 3 letters from the alphabet (lower-case only) such that any character…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION PLZ REPOST FOR REMAINING PARTS

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.