A person chooses 2 different odd numbers at a time in a set containing the numbers from 3 to 9. If event E is that 7 is chosen 1st, then find the set representing E

Q: How many different passwords are possible? If a cell phone’s password consists of eight characters,…

A: Given that cell phone's password consists of eight characters. first character is 6. The number of…

Q: Select 8 different numbers from {1, 2, 14). Show that you can find at least three pairs of numbers…

A: To show that you can find at least three pairs of numbers with the same positive difference from the…

Q: In how many ways can four distinct numbers be chosen from the set {1,2,...,14} so that no pair among…

A: solution:- Probability when all four chosen numbers are not consecutive = 1 − Probability when all…

Q: The operation subtraction on the set of natural numbers N.

A:

Q: an iPhone locks with a 5-digit code. How many codes are possible, if repetition isnot allowed and…

A: Lock of 5 digit code , Repetition is not allowedFirst digit must be 9 Number of codes = ?

Q: Supposed repetitions are not allowed. Find the number n of three-digit even numbers that can be…

A:

Q: How many natural numbers that are less or equal to 1000 and that are not multiples of 3, 5, or 7…

A: A number is said to be divisible by other number if on dividing the number  with it given remainder…

Q: How many different three digit numbers can be formed using the digits 9,6,7,8,5 and 4 with…

A: Given digits, 9, 6,7,8,5 and 4 Total numbers of given digits = 6

Q: Texas is starting a lottery game. Play- ers use a machine that randomly selects 7 distinct numbers…

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

Q: How many natural numbers are there with a maximum of 7 digits, the sum of which is 31?

A: As per the question we have to find the total number of natural numbers between 0 to 9999999 whose…

Q: A code have 4 digits in a specific order. The digits are between 0-9. How many different…

A: Code = 4 digits No. of available digit = 10 Repetition = not allowed Order is important, so we will…

Q: Suppose there seven people at a party. Is it possible that everyone at the party knows exactly three…

A: It is not possible. Imagine constructing an acquaintance graph in which each of the 7 people are…

Q: Use any method, list all the three digit numbers from the set {3,4,5,6} where there are no repeating…

A:

Q: How many numbers must be selected from the set {2,4,6,8,10,12,14,16,18,20} to guarantee that at…

A: Use the principle of inclusion and exclusion to solve this problem, as in next step.

Q: How many permutations of the numbers (1, 2, 3, 4, 5, 6, 7, 8, 9} have the numbers 4, 5 and 6 in…

A: So, the numbers 4, 5 & 6 should remain at their natural position and the other numbers can…

Q: How many subsets are there of the set N = {9}?

A: Given,          The set is N=9We know that,         The number of subsets of a given set is 2n ;…

Q: If the first even integer is 4, then what will be next three consecutive even integers ? O 5, 14, 10…

A: In the question it is asked to represent next three consecutive even integers after even integer 4.

Q: Assume that you select digits from the set {2,3,5,7} to form a number between 20 and 700. (1) How…

A: The given set of digits is 2,3,5,7 and the range of numbers is 20 to 700. There would be 2 digit…

Q: 4, and 6 if no digit is repeated in any number? a. b. repetitions are allowed?

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Q: trick with a friend: for each of the following numbers, indicate which cards contain that number by…

A: *Answer:

Q: set N = {9, 43, 66}?

A: Given that  Set N = {9, 43, 66}   We know that  The subsets possible are null set , subset of size…

Q: How many different 2 letter passwords can be formed from the letters A, B, C, D, E, and F if no…

A:

Q: Among all the numbers between 40000 and 90000, including the numbers 40000 and 90000, how many each…

A: The total number of numbers between 40,000 and 90,000 is 90,000-40,000+1=50,001. First calculate the…

Q: A multiset is similar to a set, but can contain an element more than once. How many multisets can we…

A: You can identify every multiset with an ordered pair of usual sets, call them high and low. If you…

Q: find all poisible tofaloğies on

A:

Q: Verify whether 301 is a term of test of numbers 5,11,17,23,....

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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: A 16-bit string is a sequence of 16 symbols, each symbol a 0 or a 1. How many 16-bit strings are…

A: A bit string is a sequence of  symbols, each symbol a  or a We have to find the possible number of…

Q: Television and radio stations used for call letters starting with W or K, such as WXYZ or KRLD.…

A: Given: Call letters starting with W or K No repetition in the second and fourth letters Total…

Q: How many subsets are there of the set N = {5, 42}?

A: We ahave to find no. Of subsets.

Q: An inventory consists of a list of 80 items, each marked "available" or "unavailable." There are 50…

A: Given: Number of items listed is 80, each marked as available or unavailable. There are 50 available…

Q: how many possible combinations are there for computer password that must contain six letters a…

A: Each of the places can take any letters from A to Z , as no repeat condition is given. Therefore,…

Q: Identify a pattern in the given list of numbers. Then use this pattern to find the next number.…

A: Given that the series 55 , 52 , 49 , 46 , 43 , ____

Q: What is the set N of all natural numbers?

A: Set of all integers: ℤ={.......,-3,-2,-1,0,1,2,3.......} Set of all positive integers…

Q: For some particular website, the password must start with one of the letters a b or c. Then there…

A: Introduction: As the English alphabet has 26 letters from A to Z, and there are 10 digits from 0…

Q: 12 belongs to the set of natural numbers

A: The natural numbers (i.e. counting numbers) are numbers which are used for counting and ordering.…

Q: How many subsets are there of the set N = {6, 49}?

A:

Q: A passcode contains four digits from the digits 0-9. How many different passcodes can be made if no…

A: