Suppose 61 cars start at a car race. In how many ways can the top 3 cars finish the race? The number of different top three finishes possible for this race of 61 cars is. (Use integers for any number in the expression.) ...

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Q: Examine the properties of the operation o defined by the equation xoy= x2+y2 in the N natural…

A: Given: The equation x∘y=x2+y2 in the N natural numbers set

Q: Suppose you work at a restaurant as a waiter. One night, only you and a coworker are staffed. At the…

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Q: Suppose 35 cars start at a car race. In how many ways can the top 3 cars finish the race?

A: The information provided in the question are as follows :-There are  cars at a car race.

Q: Adam, Eunice and Lara get into a bus, one after the other. One way in which they get into the bus is…

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Q: "If a and b are positive integers, a divides b and b divides a, then a = b."

A: To Prove: '' If a and b are positive integers, a divides b and b divides a, then a = b''.

Q: Use the roster method to write the set of integers between 0 and 12

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Q: 3) If every student in a class of 12 students gave a high-five to every other student, write an…

A: We have to find how many high-fives occurred in the class.

Q: Let the letters G and B denote a girl birth and a boy birth, respectively. For a family of three…

A: Let the letters G and B denote a girl birth and a boy birth, respectively. Given that a family has…

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A: To calculate the probability that Texas will lose money, we need to determine the expected value of…

Q: 1. Find the number of zeroes at the end of 100!

A: Introduction :Here, we have asked for the number of zeros at the end of 100 !

Q: Write the number 6 as a sum of three natural numbers in several different ways, and, in each sum,…

A: To be solved - Number 6 as a sum of three natural numbers in several different ways, and, in each…

Q: I notice I didn't put letter c. in this problem.  c. A number is divisible by 3 if, and only if,…

A: part c) given  c. A number is divisible by 3 if, and only if, the sum of its digits is a multiple of…

Q: (b) All the letters of the word COMBINATION are to be arranged in a row. i. Find the number of…

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Q: How many 5–digit (decimal) integers are there with none of the digits repeated?

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Q: In a group of people, 68 people can speak English, 45 people can speak in Arabic and 19 people can…

A: It is given that 68 people can speak English, 45 people can speak Arabic and 19 people can speak…

Q: A drawer contains 10 red socks, 10 blue socks, 10 green socks, and 10 yellow socks. What is the…

A: To guarantee that the drawer no longer contains any red socks, you need to remove all the socks that…

Q: Examine the properties of the operation o defined by the equation xoy= x2+y2 in the N natural…

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Q: There is a factory that makes widgets in different colors. The production time for each color is…

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Q: Suppose that 75% of students attend lectures for a particular course and 20% of students fall the…

A: Conditional probability : Conditional probability is a measure  of the probability of an event…

Q: How many integers in the set {1,2, ..., 10°} are divisible by 495 and not by 75?

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Q: let a, b, c, d, four consecutive positive numbers show that g.c.d (a, b, c, d)=1

A: Given :- a, b, c, d, four consecutive positive numbers. As a,b,c,d are consecutive positive numbers…

Q: If product of two consecutive odd integers is 63, then the integers are: 7, 9 9, 11 7, 11 7, 13

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Q: Find the smallest five consecutive composite integers.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: that if 3 divides the sum of the digits of n, then 3|n

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Q: Suppose you work at a restaurant as a waiter. One night, only you and a coworker are staffed. At the…

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