How many different permutations are there of the letters in the word «book» ?  In how many different ways can three copies of one noval and one copy each of four other novels be arranged on a shelf?

Q: Without repeating any digits, how many 3-digit numbers can be formed from the 5 digits {1,2,3,4,5}…

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Q: License tag consists of 3 letters followed by 4 digits. How many tags are possible if no letters can…

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Q: How many 3 letter words can be made from 10 letters “FGHIJKLMNO” if repetition of letters (b) is…

A: letter words can be made from letters :"FGHIJKLMNO”

Q: A contest consists of finding code words that can be formed from the letters “MEEST”. Assume that…

A: Given word MEEST, Letters = {M,E,E,S,T} Since the letter E is repeated twice then number of words…

Q: ible by 4 ca

A: The four digit numbers that are divisible by 4 will be when the last two digit is divisible by 4.…

Q: How many different passwords are possible? If a cell phone’s password consists of eight characters,…

A: Given that cell phone's password consists of eight characters. first character is 6. The number of…

Q: I have seven numbers: 1, 2, 3, 4, 5, 6, 7. five digit numbers which 15, 20, ... are multiples of 5.)…

A: Given numbers: 1,2,3,4,5,6,7 Total = 7 numbers To find: Number of five digit numbers which are…

Q: What are the number of ways a license plate can have 7 distinct letters and digits, that must start…

A: The license plate will have four letters and three digits.The license plate must start with a letter…

Q: In a police departmets there are 7 policemen. If there are 7 districts that should be on patrol, how…

A: Given that total policemen, n= 7 And districts, r= 7

Q: How many six-person lineups can be formed from a 10-player volleyball roster? (Every player plays…

A: There are 6 places that has to be filled by 10 players and any player can choose any position.

Q: A passcode is to be created from 2 letters, 2 digits, and 2 special characters (consisting of ?, !,…

A: There are totally 26 alphabets, the first letter has 26 choices. Since there is no repetition of…

Q: How many 4-digit numbers can be formed from 0, 1, 3, 5, 7, & 9 if repetition of digits is NOT…

A: Solution-: How many 4-digit numbers can be formed from 0,1,3,5,7 and 9 if repetition of digits is…

Q: Consider 14 books: 6 Science, 5 Math, 3 English, to be arranged in a book shelf where only 7 books…

A: 14 books : 6 Science, 5 Math, 3 English Books to be arranged in a book shelf where only 7 books can…

Q: ur car leasing agency has 12 red and 15 blue cars in stock. In how many ways can an 11-car group be…

A: given data, 12-red 15-blue27-total carsan 11-car group be selected consisting of seven red and four…

Q: Find the number of permutations using four different numbers (2,5,11,30) if they are taken 2 at a…

A: Given that, Four different numbers are (2,5,11,30) To find: Number of permutations using four…

Q: How many 15 letter strings containing only a's, b's, and c's have 6 a's and 4 b's?

A: Given: 15 letter strings containing only a's, b's and c's

Q: In how many ways can 12 athletes be amarded a'Ist place medal, znd place medal, and a third place…

A: P(F/E)=0.6and P(E)=0.4 P(F/E)=P(F and E)/P(E)

Q: Give 1 example of Permutation with Combination problem with solution.

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Q: Parents are having twin babies and have put 10 unique name cards in a bowl. * When the first baby is…

A: It has been provided that the parents having twin babies and 10 unique name cards in bowl.For the…

Q: Suppose any possible arrangement of 8 letters is considered a word and the letters are chosen from…

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Q: Q3/ How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 such…

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Q: How many different 5-digit numbers that are divisible by 5, can be formed from 0, 1, 3, 4, 5, 7, and…

A: Given:Total number of digits = 7 (0, 1, 3, 4, 5, 7, and 9 ) The divisibility rule for 5:The number…

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 arrangement of 8 letters taken from 5 vowels and 21 consonants can be made if there has to…

A: 21 consonants and 5 vowels. Given condition, 8 letter words using 5 consonants and 3 vowel.…

Q: How many permutations of the letters a, b, c, d, e, f, g contain neither the pattern 'abc' nor the…

A: We have to find the permutations of the letters a, b, c, d, e, f, g contain neither the pattern…

Q: In an apartment complex with 10 mailboxes, in how many ways can a mail carrier distribute 10 letters…

A: The formula for finding the  one addressed to each box such that at least one letter is put into the…

Q: I need to create a password for my bank account. I would choose each of the first 5 characters of…

A: Here we solve the number of possible way to make a password...

Q: How may combinations can be made from B,E,A,U,T,Y, if the letters are taken three at a time?

A: Given, The word BEAUTY  has 6 letters To find the number of combinations can be formed by taking…

Q: How many arrangements can you make in a three letter word using the letters from the word "PINGUIN…

A: To find the number of three letters arrangement make from PINGUIN .

Q: 10) If a man can select one of 4 shirts, one of 3 pairs of trousers and one of 2 pairs of shoes, how…

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Q: My institutional account is requiring me to include six exact characters for my password, two of…

A: Given: Conditions to create a password for an institutional account.To find: Total number of…

Q: How many license plates can be made if each plate uses three uppercase letters followed by a 3-digit…

A: For first place, you have 26 option, then 25 and then 24.  Then for numberal part, you have 10…