If you take the word ’PENNSTATE’, how many letter arrangements can you make if: (a) repeated...
If you take the word ’PENNSTATE’, how many letter arrangements
can you make if:
(a) repeated letters are treated as different?
(b) repeated letters are treated as identical?
(c) the word starts with an T and repeated letters are treated as
identical?
(d) the word starts and ends with the same letter and repeated
letters are treated as
identical?
Homework Answers
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If you take the word ’PENNSTATE’, how many letter arrangements
can you make if:
(a) repeated...
How many different letter arrangements can be made from the following words (the arrangements don’t need...
How many different letter arrangements can be made from the following words (the arrangements don’t need to be meaningful)? Letters are not unique (e.g. F1 is the same thing as F2) a) WORDS b) DIFFERENT
#2 Using the letters in the word "SQUARE", How many 6-letter arrangements, with no repetitions, are...
#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
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I. How many 5-letter passwords (letters may be repeated) can be created from the monkey type- wri...
i. How many 5-letter passwords (letters may be repeated) can be created from the monkey type- writer from Q1 if it is forbidden for a password to begin and end with the same letter? Answer: 11. Using the monkey typewriter from Q1, how many 8-letter words are there consisting of 8 distinct letters that contain the word 'APE' (as 3 consecutive) letters within the 8-letter word? Answer: iii. Suppose that a group of 9 inhabitants of the Island of Knights...
1. Consider the word "engineering". (a.) How many distinct arrangements of the letters are there? (b.)...
1. Consider the word "engineering". (a.) How many distinct arrangements of the letters are there? (b.) How many distinct arrangements are there if the letter "r" must always occur before any of the vowels?
How many different letter arrangements can be formed from the letters PEPPER? Why the answer is...
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How many ways can the letters of the word KITCHEN be arranged? How many ways can...
How many ways can the letters of the word KITCHEN be arranged? How many ways can the letters of the word KITCHEN be arranged if the letters H, E, and N must remain next to each other in the order HEN? If all arrangements of the letters of the word KITCHEN are equally likely, what is the probability that an arrangement will have the letters H, E, and N next to each other in the order HEN? How many ways...
Part B(COMBINATORICS) LEAVE ALL ANSWERA IN TERMS OF C(nr) or factorials Q4(a)6) In how many ways can you arrange the letters in the word INQUISITIVE? in how many of the above arrangements, U i...
Part B(COMBINATORICS) LEAVE ALL ANSWERA IN TERMS OF C(nr) or factorials Q4(a)6) In how many ways can you arrange the letters in the word INQUISITIVE? in how many of the above arrangements, U immediately follows Q? Q4. (b)Suppose you are a math major who is behind in requirements and you must take 4 math courses and therefore next semester. Your favorite professor, John Smith, is teaching 2 courses next semester you "must" take at least one of them. If there...
How many different letter arrangements can be made from the following words (the arrangements don’t need...
How many different letter arrangements can be made from the following words (the arrangements don’t need to be meaningful)? a) WORDS b) DIFFERENT
How many strings of nine uppercase English letters are there a. if letters can be repeated? ...
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?
#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
i. How many 5-letter passwords (letters may be repeated) can be created from the monkey type- writer from Q1 if it is forbidden for a password to begin and end with the same letter? Answer: 11. Using the monkey typewriter from Q1, how many 8-letter words are there consisting of 8 distinct letters that contain the word 'APE' (as 3 consecutive) letters within the 8-letter word? Answer: iii. Suppose that a group of 9 inhabitants of the Island of Knights...
1. Consider the word "engineering". (a.) How many distinct arrangements of the letters are there? (b.) How many distinct arrangements are there if the letter "r" must always occur before any of the vowels?
How many ways can the letters of the word KITCHEN be arranged? How many ways can the letters of the word KITCHEN be arranged if the letters H, E, and N must remain next to each other in the order HEN? If all arrangements of the letters of the word KITCHEN are equally likely, what is the probability that an arrangement will have the letters H, E, and N next to each other in the order HEN? How many ways...
Part B(COMBINATORICS) LEAVE ALL ANSWERA IN TERMS OF C(nr) or factorials Q4(a)6) In how many ways can you arrange the letters in the word INQUISITIVE? in how many of the above arrangements, U immediately follows Q? Q4. (b)Suppose you are a math major who is behind in requirements and you must take 4 math courses and therefore next semester. Your favorite professor, John Smith, is teaching 2 courses next semester you "must" take at least one of them. If there...
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