A natural number from 1-30 is chosen at random. P(less than 15 | prime)

Q: For what values of nn will the number of ways of selecting nn items from 60 exceed the number of…

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Q: Using the digits 2 through 8, find the number of different 5-digit numbers such that: (a) Digits…

A: Hi thankyou for posting this question,  since you have posted multiple subparts  as per our policy…

Q: n=100 Invent an interesting and original positive integer n with n > 50. If three positive integers…

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Q: Suppose that p is a prime integer greater than 1755. What is the largest possible value of (p,…

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Q: п For all integers n > 1, 1.2 2.3 п(п+ 1) п+ 1

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Q: A shop has 6 types of candy. How many ways are there to select 24 pieces of candy with at least two…

A: The combination principles can be used to select a number of objects from a bundle. The number of…

Q: The natural numbers are N= {1,2,3,..}. The prime numbers are P = {2,3,5,7...}. True or false? {2}sP…

A: The given problem is to determine whether the statement is True or False. To check whether the {2}…

Q: The probability of choosing an odd number in the given set of numbers 8, 13, 14, 9, 15, 11, 10 is O…

A: Given : Set of numbers : 8 , 13 , 14 , 9 , 15 , 11 , 10.

Q: Find the set representing the event E of choosing a number that can be evenly divided by 2

A: The first five cube numbers are {1, 8, 27, 64, 125} Event E : choosing a number that can be evenly…

Q: Suppose that n is a positive integer with the properties: • for any integers a, b, c, • n is not…

A: Suppose that n is a positive integer with the properties:1). for any integers a, b, c    2). n is…

Q: Find the six smallest even perfect numbers.

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Q: Determine the set of values of n for which n²-1 n² +1 and are positive integers. 2 2

A: First, we simplify the given expressions. The expression 2/2 simplifies to 1, which is a positive…

Q: Use permutations to solve. From a cooler with 9 different kinds of soda, 3 are selected for 3…

A: The formula of permutation is: Prn=n!n-r! This is the required answer.

Q: There are 10 questions in a final ėxamination for Discrete Mathematics. Each question is assigned at…

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Q: 1.  n = 20 and p = 0.02 Find P(at least one)       2.  n  = 100 and p = 0.55 Find P(at least 60)…

A: Define X follows Binomial Distribution  with parameters n & p .  where, n is total number of…

Q: 11. Explain what is a factorial and show an example of how to compute it.

A: A factorial of a number is the product of all positive integers less than or equal to the given…

Q: Picking an integer between 0 and 9, inclusive, and repeat it for 35 times, how many prime numbers…

A: Consider the provided question, Picking an integer between 0 and 9, inclusive, and repeat it for 35…

Q: k is a prime number that has a ones digit of 7 and 0 <k < 100, how many values of k are possible?

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Q: N is an integer such that N div 13 = -11 and N is not a multiple of 13. What is IN| div %3D 13? 11…

A: See the solution below.

Q: How many four-digit even numbers are possible if the leftmost digit cannot be zero? Repitition is…

A: The possible total ten numbers are {0,1,2,3,4,5,6,7,8,9}.Since the left most digit cannot be zero,…

Q: 2. If n is a prime number, it is possible that n! + 1 is not prime.

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Q: The natural numbers are l PEN N={1,2,3,...). The prime numbers are P= {2,3,5,7...}. True or false?…

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