How many 5-digit numbers can be made from the digits 1 to 9 if: a) Repetition of digits is allowed? b) Repetition of digits is allowed and the numberInust be odd? c) Repetition of digits is allowed and the number must include at least one 3?

Q: Q1) a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: a). There are 10 digits (0,1,2,3,...,9)  in total. If the first digit is filled with 1 or 2, then…

Q: How many 3 digit number can be made using the five digits 3, 6, 7, 8, 9 when (a) repetitions are not…

A: There are 5 digits in 3, 6, 7, 8, 9.   a) In a number the position of the digits matter. So we will…

Q: 1)a) How many 3 digits passcodes are there if first digit must be a 1 or 2 ?   b) How many 3…

A: The possible number for passcode is as follows: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 a) if the first digit…

Q: How many 5 letter codes are possible from the first 7 letters of the alphabet? a.) letters can be…

A: Excel is used to obtain the line and bar graph for years of education and years of experience,…

Q: - Use a number line to order the numbers in each set from great a) 70, 50, 100, 400 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: How many different license plate can be made with seven symbols where the first three are letters…

A: Given that, The license plate is made with seven symbols. The first three are letters. Assume as…

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: If any seven digits could be used to form a telephone number, how many seven digit telephone numbers…

A: a) Given data, n=10 r=7 If any seven digits could be used to form a telephone number, how many seven…

Q: You are a member of the BCC Math Club. The club has 15 members. a) How many different ways are there…

A: a)given,           club has 15 members here n=15(total numbers)           we need to select the…

Q: four or five-digit PIN is to be selected from the ten digits 0,1,2,3,4,5,6,7,8,9. How many 4-digit…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: If 6-digit positive integer is added to a 6-digit positive integer , the sum could have A) 5 digits…

A: A detailed solution is given below.

Q: Natural numbers are arranged in a triangular shape as shown below: If the pattern continues,  a)…

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Q: a) How many five digits number can be form using the integer 2,3,4,5,6,7,8,9 if: i) Repetition is…

A: As per the honor code, We’ll answer the first question since the exact one wasn’t specified.…

Q: c) A combination lock has 10 different single digit numbers to choose from and make a number with…

A: The number of total digits to choose in the lock are 10. The number of digits used to open the lock…

Q: How many four letter words beginning and ending with a vowel without any letter repeated can be…

A: As per our guidelines we are supose to do only one questionGivenword is "MATHEMATICS"No.of letters…

Q: b) How many resulting prize numbers are possible that end with the number 1? c) How many resulting…

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Q: i) all members must be local students?  ii) the number of local and international students must be…

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Q: Ann remembers the last four digits of a seven-digit telephone number but knows only that each of the…

A: Given that Ann remembers only last four digit of a seven digit telephone numbers and first three…

Q: 3. How many four-letter code words are possible from the letters in FOUR if a) the letters may not…

A: Here, we have to find the possible four-letter code words from the letters

Q: how many four-digit even numbers are possible if the leftmost digit cannot be zero? repitition is…

A: The question is to find how many 4 digits even numbers are possible if the left most digit cannot be…

Q: Suppose any digit can be repeated, how many 4-digit PINs are possible if each PIN: a) must end with…

A: As per our guidelines, we are are allowed to answer only first question . Thanks   Suppose any digit…

Q: 10. Even and odd Fibonacci Numbers a.) Which of the Fibonacci numbers are even? What pattern do you…

A: (a) Find the terms of the Fibonacci series. xn=xn−1+xn−2 such that…

Q: 9. Consider a number with 8 digits but using only digits 1, 2, 3 and 4. a) How many numbers can we…

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Q: 6. There is a safe that requires a special access code in order to open. This code is 6 characters…

A: