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
Solution:
We have to find number of different letter arrangements can be made from the following words.
Part a) WORDS
Since all letters are different ,we use formula nPr
n = total objects = total letters = 5
r = number of objects selected for arrangements = 5
Thus find: 5P5 by using permutation formula:
( Note : 0! = 1)
Thus there is 120 different arrangements of letters of word : WORDS.
Part b) DIFFERENT
n = total letters = 9
n1 = Number of times D occurs = 1
n2 = Number of times I occurs = 1
n3 = Number of times F occurs = 2
n4 = Number of times E occurs = 2
n5 = Number of times R occurs = 1
n6 = Number of times N occurs = 1
n7 = Number of times T occurs = 1
Thus the number of different permutations
Thus number of different arrangements of letters of the word DIFFERENT are = 90720
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 different letter arrangements of length 4 (four letter words) can be made using the letters M O T T O? (ex: MOOT, MTTO, OMTO, etc.)
How many different letter arrangements can be formed from the letters PEPPER? Why the answer is not 6!? Don't just solve the question, if you do so , it goes to trash thank you. So explain why is not 6! and follow the comment
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?
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?
How many different 10 letter words (real or imaginary) can be formed from the following lettersH,T,G,B,X,X,T,L,N,J
2. how many different 4 letter radio station call letters can be made if repeats are allowed and the first letter must be k a.1000 b.17,576 c.78 d.456,976
How many three-letter "words" can be made from 6 letters "FGHIJK" if repetition of letters (a) is allowed? An access code consists of 1 letter of the alphabet followed by 6 digits. (Digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.) How many different access codes are possible? A jar contains 9 red marbles, numbered 1 to 9, and 12 blue marbles numbered 1 to 12. a) A marble is chosen at random. If you're told the...
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...