a) In how many different ways can the letters of the word "CORPORATION" be arranged so that the vowels always come together? b) In how many different ways can the letters of the word "DETAIL" be arranged such that the vowels must occupy only the odd positions? c) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5, and none of the digits is repeated? d) In how many ways can you divide 28 persons into three groups having 4, 12 and 12 persons?

Q: Suppose that a password for a computer system must have at least 6, but no more than 9 characters,…

A: Given,  a password for a computer system must have at least 6, but no more than 9 characters, where…

Q: (a) How many three-digit nos. can be formed from the digits 0.1.2.3.4.5 & 6 if each digit can be…

A:

Q: Nine people are going on a Siargao trip in 3 cars that hold 2, 4, and 5 passengers, respectively. In…

A:

Q: If repetition of digits is not​ allowed, how many four​-digit numbers can be formed using the…

A:

Q: 1. How many 3 - digit numbers less than 150 can be formed from the digits 0, 3, 4, 6, and 9?

A: There are 5 digits that need to be used for required number formation. The number less than 150…

Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codes can be…

A:

Q: 2. How many 3-digit numbers with no repeated didgits using 4,5,6,7,8 can be a) Less than 520 b)…

A: Number digit numbers with no repeated didgits using 4,5,6,7,8=P53=60 This is less than 520.

Q: In how many different ways can the letters of the word 'LEADING' be arranged such that the vowels…

A: Explanation: Total number of letter in the word "LEADING" = 7 It is given that the vowels should…

Q: In how many distinct ways can the letters of the word READERS be arranged? Oways

A: We have given that a word READERS. We need to tell the distinct number of ways of this word.

Q: 3. How many 3-digit numbers are there that are divisible either by 5, 7 or 9?

A:

Q: Assume that product codes are formed from the letters A, B, C, D, and E, and consist of 5 not…

A: Product code is formed by the letters A, B, C, D, and E and consists of 5 not necessarily distinct…

Q: How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, and 9, which are divisible by 5,…

A: Given information- We have given the digits- 2, 3, 5, 6, and 9. We have to form the 3 digits numbers…

Q: b. In how many different ways can the letters of the word “Corona" be arranged such that the vowels…

A: b. The given word is “Corona”.

Q: (a) How many 2 letter codes can be formed using A, B, C, and D if each letter can be used any number…

A:

Q: a) How many four-letter words may exist in this language? b) How many four-letter words can be…

A: “Profanities” in a rudimentary language whose alphabet consists of the five letters A, B, C, D, and…

Q: 2. In how many ways can three numbers be selected from the numbers 1, 2, ... , 300 such that their…

A: This problem is solved using the concept of permutation and combination. please find step by step…

Q: 6. Calculate the number of different six-digit numbers which can be formed using the digits 0,1, 2,…

A:

Q: From the digits 1,2,3,4,5,7 and8 a) How many numbers of four different digits each can be formed? b)…

A: Given  The digits 1,2,3,4,5,7and 8  a). How many numbers of four digits each can be formed. b). How…

Q: ifferent ways can the letters

A: To find :  To find different ways can the letters of the word 'JUDGE' be arranged such that the…

Q: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , ALL ARE TOTALLY DIFFERENT YOU HAVE…

Q: (a) In how many different ways can the letters of the word wombat be arranged if the letters wo must…

A: Using permutation we can get the number of ways the letters can be arranged to make words

Q: how many different ways can the letters of the word JOYRIDE be arranged such that all letters are…

A:

Q: a. A fleet of sixteen taxis is to be dispatched to three airports in such a way that three go to…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , AS YOU POSTED A AND B TOTALLY…

Q: How many positive integers between 100 and 999 inclusive   d) are not divisible by either 3 or 4?…

A: The set: A∪B contains all the elements that are present in set A or B. The set A-B contains all the…

Q: A) How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed…

A: Note :- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: How many different numbers with nonrepeating digits from 4000 to 6000 can be produced using the…

A: The problem can be solved using the concept of permutation and combination.

Q: Assuming that any arrangement of letters forms a 'word', how many 'words' of any length can be…

A:

Q: a. If there are 8 different colors of foot balls are available in a sports shop, in how many wavs…

A:

Q: In how many distinct ways can a 18-digit number be made using nine 9's and nine 9's?

A: We have to find the distinct ways a 18-digit number be made using nine 9's and nine 9's.

Q: From the letters {A, B, C, D, E, F. G}, how :many 3-distinct-letters codes can be (a) generated? (b)…

A: a) 7C3 distinct codes can be generated by {A,B,C,D,E,F,G} which is equal to 21

Q: n how many distinct ways can the digits in the number 1,243,520,326 be arranged? (If there are any…

A: Given number 1,243,520,326 Total number of digits=10 Number of 1's=1 Number of 2's=3 Number of 3's=2…

Q: In how many ways can the digits in the number 8,633,333 be​ arranged?

A: Given  Number 8,633,333.

Q: a. In how many different ways can the letters of the word computer be arranged if the letters co…

A:

Q: How many unique codes are possibly formed from three parts, where the first part can be A to E, the…

A:

Q: In how many ways can the digits in the number 7,848,488 be​ arranged?

A: The number is a seven digit number, so we're dealing with seven digits.  If we were working with the…

Q: 1. How many different committees of four persons can be chosen from a group of twenty fou persons?…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: How many 5-digit numbers can be made from the digits 1 to 9 if: a) Repetition of digits is allowed?…

A: Here AS PER POLICY I HAVE CALCULATED FIRST 3 SUBPART ONLY

Q: How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed with…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: 2. Suppose that a password for a computer system must have at least 8, but no more than 12,…

A: As Dr. S. N. De said "A permutation of a set is defined as an arrangement of its members into a…

Q: How many three-digit numbers can be constructed from the digits 0, 3, 4, 5, 6, 8, 9 if: a)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: At a college library exhibition of faculty publications, three mathematics books, four social…

A:

Q: 11 Given the digits 6, 7, 8, 9, a. How many four number digits can be formed if there's no…

A: Given digits are  6, 7, 8, 9 each parts are solved below.

Q: In how many different ways can the letters of the word “CORPORATION” be arranged so that the vowels…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: a. How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit…

A: Part (a) Calculate the number of three digit numbers formed using the letters 0,1,2.3,4,5,6. The…

Q: In how many ways can you arrange books of the on a shelf if there are 4 of the same kind of Math…

A:

Q: How many ways are there to rearrange the letters in the word "TAKUT" so that the two Ts are not next…

A:

Q: In how many ways can the digits in the number 2,848,484 be​ arranged?

A: The given number is "2848484". We have to find the number of ways in which the given number can be…

Q: How many ways to arrange a 4-digit number, provided that the said number must be even and there are…

A:

Q: In how many different ways can the letters of the word “Karachi” be arranged such that the vowels…

A: From the given information, The letters of word =” Karachi” Vowels in the above letter = {a, a, i}