How many different license plates are possible if a state issues, (a) Two letters followed by a four-digit integer (leading zeros are permissable and the letters can be repeated)? (b) Three letters followed by a three-digit integer?

Q: 2. Perform the indicated Integer operations. -2+(-3) = -4-(-5) = 1- (-2) +2 (-3) 2 (2-4) + (-4) 2-8=…

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Q: 7. You need to select a three-character password for a new online bank account. The rules are: you…

A: Permutation - The different arrangements of a given number of things by taking some or all at a…

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: How many 6-digit positive integers are divisible by 3 but not by 9 or by 10?

A: Sol:- For a number to be divisible by 3, the sum of its digits must be divisible by 3. Let's…

Q: 2. In how many numbers with seven distinct digits do only the digits 1-9 appear?

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Q: In a certain state, each automobile license plate number consists of two letters followed by a…

A: There are 24 choices for each letter. (this explanation was already shown in the image you shared)…

Q: There are 52 cards in an ordinary deck of playing cards. How many possible ways of shuffling are…

A: Since, we know that there are 52 cards in an ordinary deck of playing cards.Our aim is to find the…

Q: The total curb weight of a truck, a car A, and a car B is 11,250 lb. The weight of car A is 15 lb…

A: Given,The total weight of a truck, car A and car B is 11,250 lb. The weight of car A is 15 lb less…

Q: An identity thief is trying to break into someone's computer that is protected by a 4-digit passcode…

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Q: Arealtor uses a lock box to store the keys to a house that is for sale. The access code for the lock…

A: The access code contains 4 digits          Digits : 0,1,2,3,4,5,6,7,8,9 The first digit can…

Q: How many different ways can the letters of "jogging" be arranged? The number of different ways that…

A: The word “jogging” contains a total of 7 letters in which “g” letter is repeated 3 times.

Q: What can we say about 5"-2" for any natural number n? Justify your response.

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Q: what are integers ?

A: An integer can be described in simple words as a whole number with negative and positive sides. You…

Q: In a certain state, license plates each consist of 2 letters followed by 3 digits. How many…

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Q: How many ways are there to write a 3-digit positive integer using the digits 1, 3, 5, 7, and 9 if no…

A: The given digits are: 1, 3, 5, 7, and 9. We have to find the number of ways to write a 3-digit…

Q: 4.) Mr. Mitchell lost 10 pounds over the summer by jogging each week. By winter time, he had gained…

A: In equation we are equating two sides left hand side and right hand side. It contains variable,…

Q: To use an automated teller machine at a certain bank, you must enter a 4-digit code, using the…

A: Total available numbers = 9 To make 4 digit code

Q: A retailer uses a lock box to store the keys to a house that is for sale. The access code for the…

A: Given Lock box consist of no.of digits=6Total no.of digits =10                   (i.e.,…

Q: What is two thousand, six hundred two in expanded form?

A: We have to write 2602 in  expanded form. Expanded form is a way to write a number by adding the…

Q: Find the number of different 7-digit numbers which can be formed from the seven digits 4, 4, 7, 9,…

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Q: There are 12 black socks, 15 dark brown socks, and 20 dark blue socks in a drawer. It is dark and…

A: In a drawer, The number of Black Socks = 12 The number of Dark Brown Socks = 15 The number of Dark…

Q: Given two natural numbers a and b, how would you check whether a/b has a terminating decimal…

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