Sakura wants to create an identification code consisting of four letters followed by three digits. She wants the code to start with U or E and end with 6, 5 or 9. The letter part can have repetitions, but the digit part cannot have repetitions. How many different codes can she create?

Q: A state makes license plates with 3 letters followed by 5 numbers. If repetitions are permitted, how…

A:

Q: Suppose Ed is going to build a playlist that contains 11 songs. In how many ways can Ed arrange the…

A:

Q: You need to create a new passcode for your iPhone, their are 10 numbers to choose from and your…

A: Remark: We know the number of different permutations of n distinct objects taken r at a time is nPr…

Q: Fifteen books are to be places in a shelf. The 15 books are composed of: 6 math books, 5 science…

A: Given information: No. of math books: 6No. of science books: 5No. of english books: 4Total no. of…

Q: How many different 4 letter radio station call letters can be formed if the first letter must be W…

A: It is given that, there are for letters and first letter must be W or K.Thus, there are 2…

Q: Ms. Jones has four skirts, seven blouses, and threesweaters. In how many ways can she choose two of…

A: From the given information in total there are: 4 skirts, 7 blouses, and 3 sweaters. Number of ways…

Q: number summary is 0.53, 0.74, 1.19, 1.355, and 1.4

A: The five-number summary consists of the following statistics: Minimum, Lower quartile, Median, Upper…

Q: When dialing a friend's phone number, a person forgot the last four digits, and only remembers that…

A: The last four places can be taken by any number from 0 to 9. Now, two places have same number.

Q: In the local boating pond there are 11 plain wooden boats, each with a different number. The owner…

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Q: Your friend hands you his iPhone and wants you to attempt to unlock it on the first try. How many…

A:

Q: A combination lock uses 3 numbers, each of which can be 0 to 31. If there are no restrictions on the…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: How many three-letter "words" can be made from 10 letters "FGHIJKLMNO" if repetition of letters (a)…

A: Solution: 39. From the given information, the 10 letters are “FGHIJKLMNO”.

Q: Mary wants to organize a party with only 10 people. In how many ways can she choose those 10 people…

A:

Q: Form an eleven-letter word by mixing the letters in the word ABRACADABRA. a) In how many ways can…

A: Given word is ABRACADABRA To determine the number of ways an 11-letter word can be formed by mixing…

Q: Melchizedek needs to make a password for his savings account. The password has to be 5 characters…

A: The permutation with repetition of objects can be written using the exponent form. When the number…

Q: How many 4-letter words can be made from the letters MATH if repetition of letters is allowed?…

A: Given: Letters M , A , T ,H  We need to find number of 4 letter words that can be made.

Q: Sam is going to assemble a computer by himself. He has the choice of chips from two brands, a hard…

A:

Q: How many license plates can be made using two letters followed by four digits (0-9), allowing…

A: From this given information, license plates can be made using two letters followed by four digits…

Q: How many three-letter "words" can be made from 8 letters "FGHIJKLM" if repetition of letters (a) is…

A: Permutation: It defines the number of possible ways an object can be arranged or ordered. The…

Q: If I have 9 flower pots and 11 different flowers how many different ways can flowers be in each pot?

A: 11C9 ways. that is in 55 way.

Q: Federal Express driver must make ten deliveries to ten different addresses. In how many ways can she…

A: factorial of n items gives you the number of ways you can arrange the given items

Q: How many three-letter "words" can be made from 9 letters FGHIJKLMN'' if repetition of letters (a) is…

A: Permutation: It defines the number of possible ways an object can be arranged or ordered. The…

Q: how many differecnt 4 letters words can be formed using the letters {b.a.s.e} if each word must…

A: Letters are b,a,s,e. Since this is the 4 letter words. Here, the word format does not have to be an…

Q: Standard automobile license plates in a country display 1 numbers, followed by 3 letters, followed…

A: Solution: Here license plate contains first 3 letters followed by 3 numbers. Total number of choice…

Q: One company’s ID cards consist of 5 letters followed by 2 digits. How many cards can be made if…

A: Consider that there are 26 letters, while the company’s id card consists of 5 letters followed by 2…

Q: A student has 4 different biology books, 4 different chemistry books, and 5 different physics books.…

A:

Q: Find the number of possible four-letter code words, selecting from the 26 letters in the alphabet,…

A: From the provided information, Total letters = 26 Four letter code words is formed.

Q: Fifteen books are to be places in a shelf. The 15 books are composed of: 6 math books, 5 science…

A:

Q: Alice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They…

A: Consider the given statement. We have to arranged from oldest to youngest. We have find the number…

Q: A combination lock uses 4 numbers, each of which can be 0 to 36. If there are no restrictions on the…

A: Here, it can be observed that all numbers are independent of each other.

Q: There are 13 female board members and 17 male board members. How many ways are there to make a…

A: From the provided information, There are 13 female board members and 17 male board members. Total…

Q: Your friend hands you his iPhone and wants you to attempt to unlock it on the first try. How many…

A:

Q: A state makes a license plate with 3 letters followed by 5 numbers. If repetitions are permitted,…

A: To find the different ways in which license plates can be made

Q: The organizer of a conference is selecting workshops to include. She will select from 7 workshops…

A: She has to select 6 workshops where atleast 5 must be about music. She can do it 2 way, i. she…

Q: Suppose that we have 10 numbered blocks, 2 RED, 3 BLUE, 4 GREEN, and one WHITE.  How many ways can…

A:

Q: If there are three routes from Detroit to Chicago and 8 routes from Chicago to Michigan, how many…

A: We can reach Chicago from Detroit in 3 ways. We can reach Michigan from Chicago in 8 ways.

Q: Standard automobile license plates in a country display 1 numbers, followed by 2 letters, followed…

A: The number of numbers from 0 to 9 is 10 and the number of letters is A-Z is 26.

Q: How many three-letter "words" can be made from 10 letters "FGHIJKLMNO" if repetition of letters (a)…

A: Without Repetition : The number of ways to draw a 'r' units from 'N' population of units by using…

Q: There are 4 roads leading from Bluffton to​ Hardeeville, 9 roads leading from Hardeeville to​…

A: Given the number of roads leading from Bluffton to Hardeeville=4 The number of roads leading from…

Q: A license plate used 2 digits followed by two letters. If the numbers 1 and 0 can not be used in the…

A: Consider the provided question, Since, the numbers 1 and 0 can not be used in the digits. So, the…

Q: How many 3-letter words can be made from the letters MATH if repetition of letters is allowed?…

A: We have given that a four letter word MATH from which we can made 3 letter words in two different…

Q: How many different ID cards can be made if you must choose 7 digits followed by 2 letters and any…

A: There are 10 digits  0,1,2,3,4,5,6,7,8,9 There are 26 alphabets A,B,C,D..... Z

Q: How many 5 letter "words" can be formed if exactly 2 of the letters are vowels if order is…

A: There are 5 vowels and 21 consonants. Here, the order is important.

Q: Suppose Aaron is going to build a playlist that contains 14 songs. In how many ways can Aaron…

A: Given,total no.of songs=14

Q: Luiza has 10 different keys. In how many ways can she arrange the keys in a key chain?

A: luiza has 10 different keys .in how many ways can she arrange the keys in a key chain?

Q: If 4 Maths books are selected from 6 different Maths books and 3 English books are chosen from 5…

A: Solution  Given That,  If 4 Maths books are selected from 6 different Maths books and 3 English…

Q: How many different four-letter radio station call letters can be formed if the first letter must be…

A: We have to form different four-letter radio station call letters with condition that first letter…

Q: There are 85 telephones in the editorial department of Rex Publishing Company. How many 2-way…

A: We know that, if there are m object and we want to choose any two out of n at a time,  then the…

Q: How many three-letter "words" can be made from 7 letters "FGHIJKL" if repetition of letter (a) is…

A: The given letters are FGHIJKL are have to find the no of three letterwords can be formed if…

Q: As a television executive, you have been given 8 shows to choose from to run during your prime time…

A: Total number of shows available = 8 Available time slot = 6