How many three-letter code words can be constructed from the first ten letters of the Greek alphabet if no repetitions are allowed?

Q: How many distinct 4-letter words can be formed from the word “books”?

A: The given word is “books”. The distinct letters in the word are b, o, k, s which are 4. The number…

Q: How many different computer passwords are possible if each consists of 7 symbols and if the first 3…

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Q: How many 4-letter “words” without repeated letters are possible using the English alphabet? (Assume…

A: Given that repetitions are not allowed. The first letter can be selected in 26 ways.  The second…

Q: How many different phone numbers are possible in the area code 503, if the first number cannot start…

A: There are 10 numbers from 0 to 9. After the area code 503, there are 7 numbers. There are 8 other…

Q: How many two-digit numbers can be formed from the digits 2, 4 and 6 if a. no digit is repeated in…

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Q: Find the number of ways to put eight different books in five boxes, if no box is allowed to be…

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Q: 4. How many five-letter codes can be formed from the letters of the English alphabet if repetitions…

A: Solution: Number of English alphabet  letters = n= 26

Q: A website requires users to set up an account that is password protected. If the password format is…

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Q: How many 6-character license plates are possible if the first character must be a letter that is not…

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Q: How many seven-digit numbers can be formed with the first two digits odd and the last five digits…

A: The total number of digits from 0 to 9 is 10.

Q: how many secret codes can be formed consisting of five letters or four digits but not both

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Q: In certain state, all license plates consist of from four or five symbols chosen from the 26 letters…

A: We need to find the number of license plates in which repetition of symbols is not allowed. The…

Q: How many lists of length 5 can be made from the letters A, B, C, D, E, F that starts and ends in a…

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Q: How many different 3 letter codes can I make that do not contain any repeated letters

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Q: How many 6​-letter code words can be formed from the letters O, A, Y, H, K,W if no letter is​…

A: Given: 6 letters = {O, A, Y, H, K, W}

Q: The employees of a company are given a 4-digit identification number. How many different numbers are…

A: GivenThe employees of a company are given a 4-digit identification numberNo.of digits from 0-9=10

Q: How many strings of eight uppercase English letters are there that start with X, if no letters are…

A: We have 26 possible letters in English alphabet: Now we have to form a string of eight uppercase…

Q: How many different three-letter codes can be made from the letters {a,b,c,d,e}? How many of them…

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Q: How many three-letter codes can be made from the letter of the word LOCKED if the first and the last…

A: The number of letters required to make a code is 3. The word from which code should be made is…

Q: How many 5-number license plates can be made using the digits: 0, 1, 2, 3, 4, 5, if repetitions are…

A: Given that 5-number license plates that are made using digits 0, 1, 2, 3, 4, 5. We have to determine…

Q: how many 7 digit phone numbers can be formed in an area code, if the symbols 0 and 1 can not be used…

A: We consider that each digit is selected independently of the others. The first digit can be any of…

Q: How many five​-digit numbers can be formed with the first two digits odd and the last three digits…

A: The number of digits need to be formed is five. The first two digits are odd and the last three…

Q: A code consists of selecting 3 not-necesarily-distinct digits, followed by a 3-letter "word" chosen…

A: Total ways of selecting 1 Digit: {0,1,2,3,4,5,6,7,8,9} = 10 Letters = {A,B,C,X,Y,Z} = 6

Q: How many ways to arrange 7 books on the shelf exist if two definite books are not placed together?

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Q: How many 5-digit numbers can be created such that no digit is repeated?

A: We need to create 5 digit number  Total digit = 10 ( 0 - 9) 0 cannot be the first digit  1st digit =…

Q: How many different three-letter words (including nonsense words) can be formed allowing repetition…

A: From the given information, three letter words formed allowing repetition of letters.Three letter in…

Q: A code consists of selecting 4 not necessarily- distinct digits, followed by a 2-letter “word”…

A: There are total 10 numbers. A code of 4 digits can be made in 104 ways. Now the number of ways 2…

Q: How many 8-digit telephone numbers are possible if the first digit cannot be zero and no repetitions…

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Q: A corporate password consists of four digits, followed by three lower-case letters of the alphabet.…

A: The password is 4 digits long followed by three lower-case letters.

Q: How many three-digit numbers can be formed from the digits 1, 2, 3, 4, and 5 if repetitions(a) are…

A: To find number of three-digit numbers can be formed from the digits 1, 2, 3, 4 and 5. (a) If…

Q: How many 4-letter "words" can be made from 10 letters AGIMNORTUY if repetition of letters (1) is…

A: In letters of word 'AGIMNORTUY' all letters are unique  Therefore 4 -letter of word can be made if…

Q: A library has 5000 books, and the librarian wants to encode each using a code- word consisting of 3…

A: Given, A library has 5000 books and the librarian wants to encode each book using a code-word…

Q: How many 12-bit strings start with 101 or end with 10 or both?

A: Here the 12-vit string is the string of length 12. And to find the number of specific types of…

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 0, which are divisible by 5…

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Q: How many 4-digit numbers greater than 5000 can be formed from the digits 2, 4, 5, 7, 8, and 0?…

A: How many 4-digit numbers greater than 5000 can be formed from the digits 2, 4, 5, 7, 8, and 0?…

Q: How many 7-digit ID numbers can be formed if each number starts with 19 and no digit appears more…

A: Solution-: How many 7-digit ID numbers can be drawn formed if each number starts with 19 and no…

Q: How many 4-digit codes can be formed from the digits 1,3,5,7, and 9 if repetition of digits is not…

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Q: How many strings of eight uppercase English letters are there that start and end with X, if letters…

A: In English Alphabet we have 26 letters. We have to make a string of 8 uppercase English Letters.…

Q: How many codes are there?

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Q: A lock has a code of 3 numbers between 1 and 10. If no numbers in the code are allowed to repeat,…

A: Answer - A  lock has a code of 3 numbers between 1 and 10. {1, 2, 3, 4, 5, 6, 7, 8, 9,10 }…

Q: How many different license plates are possible if each plate consists of 2 letters followed by a 4…

A: here given license plates consist 2 letters followed by 4 digits

Q: How many 4​-letter code symbols can be formed from the letters from the word PODS without​…

A: Given words is"PODS"No.of letters in word "PODS" = 4

Q: How many five-digit telephone numbers with pairwise distinct digits can be formed ?

A: It is required to construct a five-digit telephone number with pairwise distinct digits. The…

Q: How many 5​-letter code words can be formed using a 27​-letter ​alphabet? ​(a) if repetition is​…

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Q: How many 3-digit numbers can be formed from the prime numbers from 0 to 10 if the repetition of the…

A: We need to find how many 3 - digit numbers can be formed from the prime numbers from  0  to  10  if…

Q: How many six-number combinations can be generated from the numbers from 1 to 42 inclusive, without…

A: Given information: A 6 number combination is to be generated. The possible numbers are selected…

Q: How many four-digit numbers can be made from the digits 1 to 6 if repetition is allowed?

A: Number of four digit can be made from digits  1 to 6 :

Q: How many three-digit numbers can be formed if only odd numbers are allowed to be re-used?

A: To find three-digit number that can be formed if only odd numbers are allowed to be re-used. Odd…

Q: How many 7-digit ID numbers can be made if no digits repeat, and the last digit must be 0 or 1?…

A: Consider the case when the last digit is 0.  The number of digits left is 10-1 = 9 digits.  The…

Q: A computer system allows user IDs that are six characters long. If only alphanumeric characters are…

A: According to the provided data, the user IDs are six, r characters long. The alphanumeric characters…