Write matlab Command to find the factioral of not write matlab Command that retur a sequence of of first 50 even numas and first and the sum find

Q: 15!/14! *

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Q: 195!/192!

A: Factorial means multiplying all the integers till the number.  n!= 1×2×3×......×n   We can rewrite…

Q: A number is called “quadary” if each digit is either 0, 1, 2, or 3. How many different 5-digit…

A: Given that a number quadary if each digit is either 0,1,2 or 3. To find the number of  different…

Q: How many 3 digit even numbers can be created if repetition of digits is allowed

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

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Q: Any whole number is divisible by 3 if and only if the sum of its digits is divisible by 3 TRUE FALSE

A: We have to state that the given statement is true or false.   Any whole number is divisible by 3 if…

Q: How many ways can you get we get a 2 digit passcode if zeros are not allowed?

A: If zero is not allowed, The number of available digits is 9 (1,2,3,4,5,6,7,8,9)

Q: 2 letter sequences can be formed from the 8 letters in theword “sequence”?

A: Given, A letter = [ s,e,q,u,e,n,c,e] Number of letters = 8 By using  permutation and combination,…

Q: Find the smallest distinct postive numbers that provide a counterexample to show the statement is…

A: Let the odd numbers be 1 and 3 and the even number be 2, According to the question, The sum of any…

Q: how many sequences of 2n letters can be formed using n distinct symbols if each symbol is used…

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Q: A four-bit code word is any sequence of four digits, where each digit is either a 0 or a 1. For…

A: Here we have to form A Four bit code word of four digits using the digit 0 and 1

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 passcode is to be created from 2 letters, 2 digits, and 2 special characters (consisting of ?, !,…

A: There are totally 26 alphabets, the first letter has 26 choices. Since there is no repetition of…

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

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Q: find all possible three-digit numbers that are of the form 75_ and are divisible by both 3 and 2

A: Since the number is divisible by 2 and 3, it must be divisible by 6.

Q: If O is a natural number then O^2 + 2O + 1 is odd.

A: If O is a natural number then we need to check whether  O^2 + 2O + 1 is odd. The result is given…

Q: Let n be a positive integer. Using congruences, show that 3n+3 +23n+3 is divisible by 7.

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Q: Prove a number is divisible by 3 if and only if the sum of its digits is divisible by 3.

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Q: Determine if the statement is an "inclusive or" or and "exclusive or" A password must have at least…

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Q: Total ways to create a four digit passcodes of digits can be repeated

A: To find: The number of ways to create a four digit passcodes of digits. Calculation: The total…

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: A ternary digit is either 0, 1, or 2. How many sequences of nine ternary digits are possible…

A: The ternary digit is either 0 or 1 or 2.

Q: identify all natural numbers having exactly 28 divisors.

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Q: The total number of positive integers that can be formed from the digits 1,2,3 and 4 if no digit is…

A: Number of possible arrangement can be calculated either by combination or permutation methods.…

Q: Let the binary operation *

A: Given,          a*b=a+2b where a and b are real numbers

Q: Find all primes that divide 50!

A: Solution:-

Q: How many ternary ( 0,1,2) sequences of length 10 are there without any pair of consecutive digits…

A: We see, we can start the desired ternary sequences with any of the 3 digits (0, 1 or 2).    Now, for…