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.

Q: How many different ways can a race with 6 runners be completed? (Assume there is no tie.) Your…

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Q: to win a lotto in one state, one must correctly select 6 numbers from a collection of 5 numbers (one…

A: In the question, it has to be select 6 numbers from a collection of 55 numbers (one through 55),…

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: 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: If the repeating decimal 0.303030... is written as a fraction in lowest terms, then the numerator is…

A: Ans is 10

Q: A jar contains 40 balls numbered 1 through 40. Three balls are removed without being returned to the…

A: Using permutation and combinations we can solve for the number of sequences possible

Q: A survey of 600 school employees yielded the following information: 442 were instructors, 325 were…

A:

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: A certain lottery requires players to select 6 different numbers, in any order, from 1 to 46…

A: A certain lottery requires players to select 6 different numbers in any order from  1 to 46…

Q: A coin is tOssed three times, and the sequence of heads and talis IS {one head} and B = {heads on…

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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: How many different ways can a race with 6 runners be completed? (Assume there is no tie.) Your…

A:

Q: There are 550 students in your graduating class. Are there at least 3 people that share the same…

A: There are 550 students in your graduating class. We need to determine wheather there are at least 3…

Q: If a die is rolled 40 times, there are 640 different sequences possible. The following question asks…

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Q: 印因田出困 无 因 Option 2 Option 4 出

A: By observation. We conclude that I and II are mirror images of each other and also III and IV are…

Q: In how many ways can 5 different trees be planted in a circle?   Round your answer to 0 decimal…

A: Given 5 trees. We have to arrange in a circle.

Q: Given the set A = {a, b, c, d, e, f, g, h}, how many distinct sequences of 4 letters can be made if…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: In how many different ways can 9 people arrange themselves in a line to receive service from a…

A: Given information: There are total 9 people arrange themselves in a line to receive service from a…

Q: A is now 34 years old, and B is 4 years old. In how many years will A betwice as old as B?

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

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Q: is company and every year he adds 7 cars, then how many cars will he own in 8 years? O 161 O 311 O…

A: We are given, Initial cars=16Number of cars added per year=7 Hence, the number of cars after 8…

Q: What is the missing number (as indicated by the blank line) and the 12th number in the series? 1, 1,…

A: Given that the series 1,1,2,3,5,8,13_,34,55,...

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…

Q: In a certain lottery the player chooses 5 numbers from the numbers 1 through 38. In how many ways…

A: The number of numbers chosen by player is 5.

Q: In a lottery, 6 different numbers are chosen from 1 to 44. How many different lottery tickets are…

A: Combinations are a way to calculate the total outcomes of an event where order of the outcomes does…

Q: Find the mean of the first five prime numbers

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Q: At a birthday party 47 guests are in attendance and 6 of them are randomly chosen to each receive a…

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Q: n different toys have to be distributed among children. Find the number of w which these toys can be…

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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.