How many strings of five uppercase English letters are there (a) that start with an X, if letters can be repeated? (b) if letters can be repeated? (c) that start with the letters BO (in that order), if letters can be repeated?

Q: Suppose we want to choose 5 letters, without replacement, from 15 distinct letters. (a) How many…

A: Solution-: Here, n=15,r=5 We want to choose 5 letter, without replacement from 15 distinct letter.…

Q: For some particular website, the password must start with one of the letters A, B, or C. Then there…

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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: |(a) How many ways can this be done, if the order of the choices matters? (b) How many ways can this…

A: Letters - A,B,C n= 3 r = 2

Q: How many numbers of four digits can be formed with the digits 0, 1, 2, 3 (repetition of digits being…

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Q: How many 7-digit telephone numbers are possible if the first digit cannot be nine and (a) only odd…

A: As per Bartleby guidelines for more than 3 parts asked for a question, only 3 is to be answered.…

Q: Suppose that license plates in a certain municipality come in two forms: two letters (A … Z)…

A: License plates in a certain municipality comes in two forms:two letters followed by two digits or…

Q: How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters (a) is…

A: Given5 letters is "FGHIJ"No.of letters = 5

Q: ) How many 5 letter code words can be made with the first 7 letters in the alphabet (i) if no letter…

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Q: If 3 -letter words" are formed using the letters A, B, C, D, E, F, G, how many such %3D words are…

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Q: Given the characters A,B,C,H,I,T,U,V,1,2,3,and 4, how many seven character passwords can be made? (…

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Q: In a group of people, 68 people can speak English, 45 people can speak in Arabic and 19 people can…

A: It is given that 68 people can speak English, 45 people can speak Arabic and 19 people can speak…

Q: In how many ways can we rearrange the letters in “MATH IS FUN” (a) with no restrictions? (b) if…

A: Given: “MATH IS FUN” to arrange in different ways

Q: How many ways can all the etters in the word EDUCATION can be arranged if all the vowels are right…

A: The word education has 9 letters in which 'AEIOU69f4fc43-162e-4e8b-82a6-efea9c821b47' are vowels.…

Q: How many three-letter "words" (some may be nonsense words) can be made from 4 letters "FGHI" if…

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

Q: Q5. (a) Enumerate all possible (1) combination and permutation of three letters chosen from the four…

A: The formulas for combinations and permutations are Cn,r=n!r!n-r!,  Pn,r=n!n-r! respectively.

Q: 4.) Mr. Mitchell lost 10 pounds over the summer by jogging each week. By winter time, he had gained…

A: In equation we are equating two sides left hand side and right hand side. It contains variable,…

Q: How many different license plates can be created of the form XXX – YYYY if the first three…

A: From 1-9 there are 9 digits So for the first three places, we can fill each place in 9 ways. So…

Q: How many different 10-letter words (real or imaginary) can be formed from the following letters? Q,…

A: Given that  Number of letters = 10 Letters  =  Q , L , Q , U , A , L , L , A, R , W Number of times…

Q: How many ternary strings are there with exactly 4 zero's, 2 one's and 6 two's?

A: In this solution we will find the total number of string with exactly 4 zero's, 2 one's and 6 two's.…

Q: How many distinct 5-letter words can be formed using the letters from the word "MATHS" if repetition…

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Q: in how many ways can the ten digits be written in a row if the even and odd digits have to alternate

A: Answer is 28800 Explanation is given below

Q: A group of 7 boys and 3 girls is to be photographed. ​(a) How many ways can they be arranged in one​…

A: Given that a group has 7 boys and 3 girls.

Q: How many different ways can the letters of "referred" be arranged? The number of different ways that…

A: Factorial Rule: The total number of ways n different objects can be arranged where order of the…

Q: Japanese license plates in each state consist of 8 characters. The first two characters can be any…

A: From 0-9 there are 10 digits  First character can occur in 10 ways  The second character can occur…

Q: How many two digit numbers can be formed from the digits 1, 3, 7 and 9 when the digits are: (a) not…

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Q: how many different license plates can be created of the form XXX - YYYY if the first three aracters…

A: From 1 to 9 there are 9 digits.  So in the first three positions, we can enter each digit in 9 ways.…

Q: | How many 4-letters codes

A: Here Given  We have to choose 4 digit codes from total 9 (1,2,3,4,5,6,7,8,9)