Standard license plates in a country have 3 letters (i.e letter A to Z. You know there are 26 letters in English alphabet) followed by 3 numerals (i.e. the digits 0,1, 2,...,9). Repetition of characters is allowed (e.g. AAA 000, AAZ 233 are ac- ceptable license plates). If this license plates are generated by randomly selecting 3 characters from letters (A to Z) and 3 numerals (i.e. the digits 0, 1, 2,...,9 ), then calculate the probability that a license plate generated begins with the letter B and ends with the numeral 5?

Without using a calculator, test for 60,330 for divisibility by 2, 3, 4, 5, 6, 8, 9, 10, and 11 Is the number divisible by 2?

How many four-letter "words" can be made from 6 letters "AEBWDP" if repetition of letters is allowed repetition of letters is not allowed

How many 8-letter words can be made from the letters WASTEFUL ifrepetition of letters is allowed? repetition of letters is not allowed

An airplan assigned the confirmation code "AKZAV" to a customer when he booked his flight.  How many 5 character confirmation codes are possible using the 26 letters of the alphabet?

Standard automobile license plates in a country display 3 numbers, followed by 2 letters, followed by 2 numbers. How many different standard plates are possible in this system? (Assume repetitions of letters and numbers are allowed.)

How many 3 letter words can be made using the letters D, S, M, A, K, E and B if every word must have 1 vowel between 2 consonants? (examples: SAM, BEK, etc.)

12) A license plate has 7 characters. Each character can be a capital letter or a digit except for 0. How many license plates are there in which no character appears more than once and the first character is a digit? a. 9. P(35,6) b. 9. P(34,6) c. 9. (35)6 d. 9. (34)6

Draw a number lina and place 2/4, 1/2, 7/8 on a number line

Do fast