Discrete Structures–Fall 2019Assignment-09SolutionProblem 1(a)How many words of 10 letters can you form, using the English alphabet? (there are 26 different letters, ofwhich 5 are vowels).
Get answer to your question and much more
(b)How many words of length 10 can you form, where no letter is repeated?
Get answer to your question and much more
(c)How many words of length 8 can you form, where the first letter is the same as the last letter?
Get answer to your question and much more
(d)How many words of length 8 can you form, which contain exactly one vowel?7
Get answer to your question and much more
Problem 2A ﬂag consists of a 1×3 rectangle, divided into three equal squares, each square being painted in one of 10 possiblecolors. Moreover, two adjacent squares cannot be painted with the same color. Finally, a ﬂag may have a coloredcircle at the center of the middle square: in this case, the color of the circle must be different from the other colorsused to paint the squares. How many different ﬂags can be obtained, following the rules above?
Get answer to your question and much more