That is a lot of passwords! How many passwords would the website have if users were allowed to reuse the letters and numbers? (Enter the number of successful outcomes in each of the blanks below. Let the first six spaces represent letters and the last two spaces represent numbers)  Answer

Q: The password for a new online gaming site must contain three letters followed by four digits. The…

A: Given that there are 3 letters in the password and the letters can not repeat. There are 26 letters…

Q: The local​ seven-digit telephone numbers in city A have 157 as the first three digits. How many…

A: The objective of the question is to find out the total number of different seven-digit telephone…

Q: Steve wants to download a selection of new music. How many ways can Steve select four rock songs,…

A: Multiplication principle: It states that if there are n ways of doing something, and m ways of doing…

Q: If we make a list of any four consecutive Fibonacci numbers, twice the third number minus the fourth…

A:

Q: In a two-digit number, the tens-digit is greater than the units-digit. The product of these two…

A:

Q: How many three digit numbers have the property that the sum of that number and the three digit…

A: How many three digit numbers have the property that the sum of that number and the three digit…

Q: A recipe for cinnamon rolls uses 2 tablespoons of sugar per teaspoon of cinnamon for the filling.…

A: Given , for every 1 table spoon of cinnamon, there are 2 tablespoons of sugar.

Q: If the largest of 58 consecutive integers is 529, what is the smallest? Write your answer in the…

A: There are 58 consecutive integers. Largest number is 529. That is 58 th observation is 529.

Q: If 28 less than five times a certain number is 232. What is the number?

A:

Q: If 1/2 of a number, 1/3 of the number, 1/4 of the number, and 2/7 of the number are added together,…

A:

Q: In a batch of 500 high school students, there are 252 students who own a laptop, 176 students who…

A: Here we can use the formula nU = nA+nB-nA∩B+nA∪B'

Q: access code for your home security system consists of five digits. Each digit can be any number from…

A:

Q: If the largest of 89 consecutive integers is 327, what is the smallest?

A: It is given that largest to the 89 consecutive integers is 327. We need to find the smallest integer…

Q: How many pairs to sum an even number or one greater than 9?

A: Please see the below picture for detailed solution.

Q: Find 4 numbers in ap whose sum is 20 and the sum of whose squares is 120

A: Let the numbers in A.P be (a−3d),(a−d),(a+d),(a+3d).

Q: An exam  is made up of  hundred true or false questions. How many different ways can a student…

A: The number of permutations of n  objects taken r at a time when repetition of objects is allowed is…

Q: One person starts a rumour about how awesome math is. That person tells 8 people in about 1 hour. If…

A:

Q: A 7 digit phone number consists of numbers 0 - 9. How many different combinations can be made if the…

A: Given ,number digits from 0 to 9=10

Q: football team has 11 players on the field at a time. There are 20 total players on the roster. How…

A:

Q: What is the smallest number that can be represented as the sum of four positive squares (not…

A: Consider the given statement. Since we need to find a number, which is the smallest number of sum of…

Q: A state has license plates that consist of 2 letters followed by 3 numbers and each letter and…

A:

Q: A concert hall contains 8 sections of seats with the same number of seats in each section if there…

A: Ans. 31

Q: A theater has 30 seats in the first row, 32 seats in the second row, in- creasing by 2 seats each row…

A: Total number of rows = 26Increment in each row = 2So, starting from the first row, we have 30 seats,…

Q: How many license plate containing two letter followed by three digit can be formed 2 If the letters…

A: License plate made up of 5 alphanumeric in which first two position taken by letters then last three…

Q: If all the books on a shelf with fewer than 45 books were put into piles of five books each, no…

A: number of books is m, m < 45. If they are arranged into piles of five books, each no books would…

Q: How many nine-digit numbers with twice as many odd digits as even digits? (leading zeros are…

A: The number of digits are 9. The number of odd digits are twice the number of even digit.