How many five letter words do not both begin and end with a vowel? (uppercase letters...
How many 10-letter “words” using the 26-letter alphabet either begin or end with a vowel? Draw and use a Venn diagram to support your solution. Be sure to clearly identify your sets. (Letters may be repeated in this problem)
Suppose that a five-letter password can consist of uppercase and lowercase letters. If such a password is generated at random, what is the probability it will consist of only uppercase letters?
How many strings of nine uppercase English letters are there a. if letters can be repeated? b. if no letter can be repeated? c. that start with the letters MN (in that order), if letters can be repeated? d. that start and end with the letters MN (in that order), if letters can be repeated? e. that start or end with the letters MN (in that order), if letters can be repeated?
4. (HHM Problem 2.1 #2) Assume that a vowel is one of the five letters A, E, I, O, or U. (a) How many eleven-letter sequences from the alphabet contain exactly three vowels? (b) How many of these have at least one repeated letter?
Problem How many four-letter code words are possible using the letters in IOWA if (a) The letters may not be repeated? (b) The letters may be repeated?
How many 8-letter words are there using the letters: A, B, C, D such that each letter is used exactly 2 times?
#2 Using the letters in the word "SQUARE", How many 6-letter arrangements, with no repetitions, are possible if, a) there is no any restriction, b) the first letter is a vowel, c) vowels and consonants are alternate, beginning with a consonant
How many distinct 5 letter words can be made by arranging the letters ENGLISH if the word must start with L and end with either S or G?
How many 6-letter code words can be formed from the letters T, O, U, DL, Y if no letter is repeated? If letters can be repeated? If adjacent letters must be different? There are possible 6-letter code words if no letter is repeated. (Type a whole number.) There are possible 6-letter code words if letters can be repeated. (Type a whole number) There are possible 6-letter code words if adjacent letters must be different. (Type a whole number.)
#4 How many different words (letter sequences) can be obtained by rearranging the letters in the word MASSACHUSETTS?