A catalog begins with three dlistinct letters +ollowed by four distinct nonzero digits. what is the pro bability of getting one catabg with the last letter a vowel and the First digit even? 3

Q: Is-5 in Span -3

A: we have to check whether the given vector spans the set or not. let us consider the given that the…

Q: License tag consists of 3 letters followed by 4 digits. How many tags are possible if no letters can…

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Q: How many 3 letter words can be made from 10 letters “FGHIJKLMNO” if repetition of letters (b) is…

A: letter words can be made from letters :"FGHIJKLMNO”

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: In a loan database, there are 13 loans to clients with 6 years of business experience. Also, there…

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Q: 3) If every student in a class of 12 students gave a high-five to every other student, write an…

A: We have to find how many high-fives occurred in the class.

Q: Write the following (x: x-2, n is natural number less than 6) in roster form. (1, 2, 3, 4, 5}

A:

Q: is The distributive property says that the number located outside of the parentheses can be applied…

A: Distributive property says that, The number located outside the parentheses can be applied or…

Q: Determine the number of different words possible by rearranging the letters of ERRTDADX

A:

Q: A license plate is to consist of 4 digits followed by 2  uppercase letters. Determine the number of…

A: Solution-: Given: A license plate is to consist of 4 digits followed by 2  uppercase letters. We…

Q: how may letters does cat have?

A: The given word is 'cat'.

Q: What are the number of ways a license plate can have 7 distinct letters and digits, that must start…

A: The license plate will have four letters and three digits.The license plate must start with a letter…

Q: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

A: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

Q: Predict the next number: 1. 2,7,14,23,34, _? 2. 5,6,10,19,35,_? 3. 6,9,15,24,36,_? 4.…

A: 1. Here the difference of 1st and 2nd term is = 7-2=5=3+(2*1). The difference of 2nd and 3rd term is…

Q: Evaluate P( 16, 3 ) O 4116 O 3360 O 48 O 13 A special plate number is made up of 2 letters of the…

A: As per our guidelines we are suppose to answer only one question. We know that P(n,r)=n!n-r!

Q: How many different 4 digit numbers can be formed using only the digits 3, 5, 7 and/or 9, if each…

A: It is required to find the number of different 4 digit numbers that can be formed using only the…

Q: Zahra is a company specializing in high-end cosmetics. Its signature nail polish color is Soft…

A: Given  X=1800, N=7400, x=6, n=33

Q: Marshall had d dogs that he put into 4 different areas. How do you write this as a divison sentence?

A: Consider the provided question, Given, Marshall had d dogs that he put into 4 different areas. We…

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: What is the number of 3 letter words can be made with the letters in the word 'OMAN'?

A:

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: 2. Find azı for {121, 118, 115, .. }

A:

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: The combination on a bike lock consists of 5 letters. How many different lock combinations are…

A:

Q: A realtor uses a lockbox to store the keys to a house that is for sale. The access code for the…

A: The total number of digits =10(from 0 to 9) There are 5 digits (1,3,5,7,9) and 5 even digits…

Q: How many ways to arrange 5 books on the shelf exist if two definite books are not placed together.

A:

Q: Verify whether 301 is a term of test of numbers 5,11,17,23,....

A:

Q: Dots and dashes can be used to represent symbols (Ex: C = -.-. ,Q = --.-). How many symbols could we…

A: We have two characters: dots and dashes. We must represent every symbol using just dots and dashes.…

Q: Q3/ How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 such…

A:

Q: 9.4+4»

A: The given expression is 9.4÷4.

Q: How many ways to arrange 7 books on the shelf exist if two definite books are not placed together?

A:

Q: How many 5 digit numbers can be formed without repeating any digit, from the following digits 3, 4,…

A:

Q: How many arrangement of 8 letters taken from 5 vowels and 21 consonants can be made if there has to…

A: 21 consonants and 5 vowels. Given condition, 8 letter words using 5 consonants and 3 vowel.…

Q: How many 7 letter words can be made from the letters WASTFUL if repetition of letters is allowed?

A: