If a die is rolled 35 times, there are 635 different sequences possible. The following question asks how many of these sequences satisfy certain conditions.  What fraction of these sequences have exactly five 1s? (Round your answer to four decimal places.)

Q: In a “Pick-4” game, a player wins a prize for matching a 4-digit number from 0000 to 9999 with the…

A: Given: A player wins a prize for matching a 4-digit number from 0000 to 9999 with the number…

Q: i am not able to see the answer properly

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Three men and three women are to be seated in a row of chairs numbered 1 through 6. (a) How many…

A: When n people are arranged in a line it can be arranged by n!

Q: An ice cream store sells 25 flavors of ice cream. Determine the number of possible 7-dip sundaes.…

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Q: In how many ways can six books be lined up along a shelf?

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Q: If each different arrangement takes one minute to shuffle around, how long (to the nearest tenth of…

A: There are total 15 books Here use concept of total arrangement

Q: Five people come to a party and shake hands with each other. If each person shakes the hand of every…

A: Five people come to a party and shake hands with each other. If each person shakes the hand of every…

Q: Khristelle was able to calculate the total number of 3-digit numbers that can be formed from a given…

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Q: In how many different ways can eight people be seated in a row?

A: Different ways that eight people can sit in a row.

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

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Q: The 5th term of an A.P. is 15 and the first term is 3. What is the sum of the first 10 terms?

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Q: A penny collection contains twelve 1967 pennies, seven 1968 pennies, and eleven 1971 pennies. If you…

A: Generalized pigeonhole principle For any function f form a finite set X with n elements to a finte…

Q: At a certain university there are 19 different time periods during which classes can be scheduled.…

A: Given that, in a certain university, there are 19 different time periods during which classes can be…

Q: In how many ways can 6 different cupcakes be arranged in a circular stand?

A: The number of ways n items can be arranged in a circle is equal to n-1!. The formula for n! is…

Q: sub: discrete How many ways can a group of five people be selected from nine people?

A: There are total 9 people. To Find: Number of ways that we can select a group of five people from…

Q: There are 12 people at a party. If they all shake hands, how many different hand-shakes are there?…

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Q: The Reverend minister of a church always insist that every member shake hands with every other…

A: Given: Number of person is, n=90. Number of times required handshake is 1 time. The objective is…

Q: You ask 300 people if they have served food to their friends that they have dropped on the floor.…

A: Given Information: You ask 300 people if they have served food to their friends that they have…

Q: a. Exactly 24 of them survive their first year of life. b. At most 25 of them survive their first…

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Q: A theater was designed to have 24 seats in the first row, 30 seats on the second row, 36 seats on…

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Q: Three sets of numbers are given.  The first is number 1 through 4, the second is numbers 1 through…

A: Three sets of numbers are given. The first is number 1 through 4, the second is numbers 1 through 7,…

Q: In how many ways can we select 7 books out of 9 and arrange them on a bookshelf? a. 181,440 b. 72 c.…

A: we have to find In how many ways can we select 7 books out of 9 and arrange them on a bookshelf.

Q: The freshman basketball team has ten players. Only five can play on the court atone time. How many…

A: Given problem:- The freshman basketball team has ten players.Only five can play on the court atone…

Q: The sample suggests that the food is safe, but it actually is not safe. type I O type II O not an…

A: Type I error (α) is the probability of rejecting the null hypothesis when it is actually true. Type…

Q: 4. Before the Sino-Japanese War, the National Tsing Hua University had a collection of 350,000…

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Q: If the die above is rolled 120 times, predict the number of times it would land on a multiple of 3.…

A: It is an important part of statistics . It is widely used .

Q: Suppose a race takes place involving 15 participants. In how many different ways can the top three…

A: Given that Total participants=15

Q: The trifecta at most racetracks consists of selecting the​ first-, second-, and​ third-place…

A: The total number of entries in the trifecta race is, n = 11 There are three finishers are selected…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.