Given that it will be Friday in 2 days, which of the following statement is TRUE? - It will be Saturday in 72 days - It will Tuesday in 779 days - It will be Monday in 26 days - It will be Sunday in 35035 days.

Q: low many different sequences of 4 digits are possible if the first digit must be 3, 4, or 5 and if…

A: To find the number of different sequences of 4 digits following the given conditions, we can…

Q: How many seven-digit numbers can be formed with the first two digits odd and the last five digits…

A: The total number of digits from 0 to 9 is 10.

Q: How many 10 digit real even number can be created (It cannot start with a 0) with 5 zeroes and 5…

A: Basic concepts of making combination are used. Information given, As we have only two choices of…

Q: months with exactly 30 days is infinite, finite, or null

A: Given that month with exactly 30 days.

Q: In a set of 2 positive integers, how many ways it can be chosen in less than 50? 1.

A:

Q: 1) Find at least three different sequesnces begining with the terms 1,2,,4 whose terms are generted…

A:

Q: How many three-digit numbers are possible under each condition? (a) The leading digit cannot be zero…

A: We know that 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits in the number system.

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: (b) How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7 and 8 such…

A: Given Digits: 0,1,2,3,4,5,6,7 & 8

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

A:

Q: Given the digits {1, 2, 3, 4, 5}, how many 3-digit numbers can be formed if: No digit is repeated?…

A: the digits are {1, 2, 3, 4, 5} 3-digit numbers can be formed

Q: In one case a byte is defined as a sequence of 8 bits. Each bit can be either zero or one. How many…

A:

Q: How many different ways can a club of 25 members fill the positions of president, vice president and…

A: Given: The positions to be filled by the club members are president, vice president, and Secretary.…

Q: Find how many natural numbers n ≤ 1000 are not divisible by any of 2, 3 without repetitions

A:

Q: Calculate the right hand side of the statement below for n=12 ©George Mason University 3+4+5+. + (n+…

A:

Q: Is there any derivation of the formula of permutation and combination?

A: Derivation for the formula of permutation and combination . Permutation : (Arrangement of r things…

Q: Question 9 (Show your solutions) In how many ways can 6 books be arranged on a shelf if: a.) any…

A: Here total 6 books arranged in shelf

Q: How many 7-digit telephone numbers are possible if the first digit cannot be four and (a) only odd…

A: Total digits :  0,1,2,3,4,5,6,7,8,9  7-digit telephone numbers= ?  First digit can not be 4

Q: Prove that 4.999...=5.000...=5

A: Proof:Let x = 4.999, then 10x = 49.99.

Q: This is a mathematics question. There are 8 numbers in a sequence that add up to 250 (ex.…

A: The details are given as step 2.

Q: Show that given any set of 5 natural numbers, there are 3 numbers whose sum is divisible by 3.

A: Let q∈N. Note that, for every q there exists some x∈N and some v∈0,1,2 such that q=3x+v. Now, let…

Q: John was born on February 28, 1999. It was a Sunday. February of that year had only 28 days, and the…

A: John’s birthday on 28 February 1999. Jacks birthday on 29 the February 2000. The total number of…

Q: Every year a herd of buffalo increase by 50%. Suppose that at year 0 there are 60 buffalo, and each…

A:

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: If you take any 3 digit number (ex. 123) and rewrite it as a 6 digit number by repeating the same 3…

A: To prove that taking any 3-digit number (where , , and are digits), rewriting it as a 6-digit…

Q: How many strings of 12 ternary digits (0, 1, or 2) are there that contain exactly hree Os, five 1s,…

A: Strings of 12 ternary digits, 3 possibilities for each digit in the string, gives a total of 3^12 =…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.