License plates on cars are composed of up to 7 characters. The characters can either be a digit (0,1,...,9) or an uppercase lett
er (A,B,...,Z). For example, your license plate could be: AA04R32 or S9332. (Explain your answers for each part.) (a) (3 points) How many possible license plates are there that have at least one even number and at least one vowel? (b) (3 points) Since O’s and 0’s look similar, in some states, a valid license plate cannot have both an O and a 0. How many such 7-character license plates are there? (c) (3 points) How many possible 7-character license plates are there such that the first 3 characters are 3 distinct digits in increasing order and the remaining 4 characters are 4 distinct letters in alphabetical order? (d) (3 points) There is a particular 4-letter word that is not allowed on any license plate. (Let’s pretend that the word is MATH.) How many 7-character license plates avoid the word MATH? (e) (3 points) How many different 7-character license plates avoid having 2 digits in a row?
Counting the number tabulated in the given above, it can be concluded that indeed there were 20 days in consideration. To determine how many days did they receive 19 or fewer emails, we just have to count the number less than 20. That is, 13 days out of the 20 working days.
150 grams is used for 5 cakes divide that. 150/5=30. 30 grams of sugar are used for each cake for 7 cakes 30x7=<span>210 grams of sugar are used for seven cakes. </span>
