Find the number of possible four-letter code words, selecting from the 26 letters in the alphabet, in which all four letters are different. What will be the number of four-letter code words if letters could be repeated?

Q: A contest consists of finding code words that can be formed from the letters “MEEST”. Assume that…

A: Given word MEEST, Letters = {M,E,E,S,T} Since the letter E is repeated twice then number of words…

Q: Find the number of ways to put eight different books in five boxes, if no box is allowed to be…

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Q: Walter is creating a 5 digit code for an electronic lock. He can use any number, but cannot use the…

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Q: In the local boating pond there are 11 plain wooden boats, each with a different number. The owner…

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Q: At the bakery, a box of cookies is made by selecting four cookies from the six types of cookies –…

A: Formula nr = n!r!(n-r)! ; n ! = 1* 2* 3* 4*.. *n   Example : 3! = 1*2*3 = 6   Meaning : Number of…

Q: How many different 11-letter words (real imaginary) can be formed from the letters in the word…

A: We have to find the total number of 11-letter words that can be formed from the letter in the word…

Q: You are signing up to a website that requires you to create a username that is exactly 8 characters…

A: From the given information, the website that requires you to create a username that is exactly 8…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

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Q: Florida uses three letters followed by three number digits for license plates using all letters in…

A: Given: Florida uses three letters followed by three numbers.  To find: Number of license plates…

Q: Any possible arrangement of 8 letters is considered a word.  The letters are taken from 21…

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Q: How many different license plates can be made by using two letters followed by three digits selected…

A: The licensing plate should contain 5 places in which first 2 positions filled with letters and next…

Q: How many license plates can be made using two letters followed by four digits (0-9), allowing…

A: From this given information, license plates can be made using two letters followed by four digits…

Q: A license plate is to have the following form: three letters followed by three numbers. An example…

A: There are 26 letters (A-Z) and 10 numbers (0-9) We can pick each letter in 26 ways and we can pick…

Q: how many five letter codes can be made if each chosen letter (from the the original 7 letters) can…

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Q: How many different​ 4-letter acronyms can be made if the first letter must be K, U, or Y and no…

A: How many different 4-letter acronyms can be made if the first letter must be K, U, or Yand no letter…

Q: The English alphabet contains 21 consonants and 5vowels. How many word of length 4 can you write all…

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Q: Suppose 58 cars start at a car race. In how many ways can the top 3 cars finish the​ race?

A: We have to find no of  ways can the top 3 cars finish the​ race...

Q: A state has license plates that consist of 2 letters followed by 3 numbers and each letter and…

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Q: A corporate password consists of four digits, followed by three lower-case letters of the alphabet.…

A: The password is 4 digits long followed by three lower-case letters.

Q: XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 4. Mathematics tests produce scores that are approximately…

A: It is given that  Mean, μ = 480 Standard deviation, σ = 100

Q: For a class activity, a teacher put students into teams of 5. The teams were made up of 2 students…

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Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: A regular license plate in California begain with a digit from 1-9 followed by three letters,…

A: Step 1: Step 2: Step 3: Step 4: