Solve the problem by applying the Fundamental Counting Principle with two groups of items. How many different four-letter secret codes can be formed if the first letter must be an S or a T? 72 35,152 421,824 O456 976.

Q: A thief steals an ATM card and must randomly guess the correct four-digit pin code from a 6-key…

A: It is given that the number of keys in keypad is 6.

Q: A website requires you to choose a username that contains 4 letters followed by 3 digits. How many…

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: Outside a home, there is an 8-key keypad numbered 1 through 8. The correct five-digit code will open…

A: There are totally 8-key keypad numbers. The correct five-digit code will open the garage door. The…

Q: 21. Bank checks. Determine the check digits for the following bank codes: 0 25 7 1 1 0 8 .

A: The given code is: 0 2 5 7 1 1 0 8 _

Q: Dawson decides to make 3 - letter codes from the letters (M. A. THIS.F .U.N) with no letter…

A: The given letter is MATHISFUNThe number of letters in the given combination = 9Number of vowels in…

Q: To enter their home the rouse family enters a 6 character code consisting of 4 letters (uppercase of…

A: We have to find 6 character code consisting of 4 letters (uppercase of lowercase) and 2 digits if…

Q: How many unique codes are possibly formed from three parts, where the first part can be A to C, the…

A: The above problem exhibits an example of an ordered arrangement, as the order the objects are…

Q: You are asked to create a six character password and each character can be any of the 26 letters of…

A: Given: Number of alphabets=26 Number of numerical 2 through 9=8 Total number of characters, n=34 The…

Q: Passwords can have 7 characters. Each character can be an uppercase or lowercase letter, a digit…

A: (a) If any character can be used in any position we have 26 uppercase letters 26 lowercase letters…

Q: Use the fundamental counting principle to solve the problem. How many different codes of 4 digits…

A: The information provided in the question are as follows :-In a 4 digit code, the first digit must be…

Q: The digits 1, 2, 3 and 4 can be arranged to form different four-digit codes. a. Find the number of…

A:

Q: Find the total number of different permutation of the letter of the word VACCINATION(show solution)

A: Note- Since you have posted multiple questions, as per our guidelines we are supposed to answer only…

Q: How many different 10-letter codes can be made using three a’s, four b’s, and three  c’s?

A:

Q: How many different three-digit numbers can be formed using the digits 1, 4, 5, and 9 without…

A: Given N=4 n=3

Q: Determine whether or not the first number is divisible by the second number 249,576; 3 Yes No

A: given number 249,576 to show it is divisible by 3

Q: How many different three-digit numbers can be made from 1, 3, 5, and 7, if you can not repeat any…

A: The total number of digits is 4. They are, 1,3,5 and 7.

Q: A standard-issue 2020 New Jersey license plate had one letter, then two digits, followed by three…

A: The license plate has four letters and two digits.  The first, third and the fourth letters are in…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.