In how ways can the letters of the word 'ORANGE' be arranged so that the consonants occupy only the even positions?

Q: How many different three-digit numbers can be formed using the digits 3,4,8,5,7,1, and 6 without…

A: Given problem:- How many different three-digit numbers can be formed using the digits 3,4,8,5,7,1,…

Q: 3. Find the number of distinct permutations that can be formed your ID number.

A:

Q: How many different passwords of 4 characters can be made using the numbers from 0 to 9 and the…

A: A password of four characters is to be made using the numbers from 0 to 9 i.e. 10 digits and the…

Q: How many symbols of 3 different orders greater than 3 700 can be formed from the set of numbers {…

A: Combination : A combination could be a mathematical technique for scheming the amount of potential…

Q: How many 3 or 4 digit even numbers greater than 700 can be formed by: a. Using the digits 0-9.…

A: EVEN NUMBERS : Even numbers embrace people who conclude in zero,2,4,6, and 8. Even numbers, as an…

Q: How many different 3-letter permutations can be formed using the letters in the word "SCARED"…

A: Given  Word is SCARED and we need to determine the no of 3 letter permutations are formed using the…

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

A:

Q: 45. How many ways are arrange the letters in UNIVERSALLY so that no two vowels and also the…

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

Q: How many distinct scrambles (re-arrangements of the letters) of the word moximum. are there?

A: See the detailed solution below.

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

A:

Q: In how ways can the letters in the word WISDOM be arranged such that the ending letter is a vowel?

A:

Q: Determine the number of natural numbers less than 700 that can be written using the digtits 5,6,7,9?

A:

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: 5. How many strings of 3 characters are there, such that every character is a lower case letter, the…

A: If there are a ways of doing something and b ways of doing another thing, then there are a · b ways…

Q: Find the number of ways of arranging the letters of the words DANGER, so that no vowel occupies odd…

A: Given word: DANGER Number of letters = 6 Number of vowels = 2 (A and E) Number of consonants = 4 (D,…

Q: 6. Find the number of different 8-letter arrangements that can be made from the letters of the word…

A: 6. A. We need find the different 8-letter arrangements where all vowels occur together. Total number…

Q: Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is…

A: Given Information: Digits = 2, 4, 6, 7 and 9 To find how many five-digit numbers can be formed if…

Q: ash” so that neither the

A:

Q: how many three-letter permutations can be formed from the letters in the word pirate? Show your…

A: To find how many three-letter permutations can be formed from the letters in the word pirate.

Q: How many different words with or without meaning can be formed with the letters of the word…

A:

Q: 2. even numbers are in their natural positions. Determine the number of permutations of {1, 2, 3, 4,…

A: Here we use combination rules. And set theoretic rules.

Q: 3. Consider the word PERMUTE and all the ways you can arrange its letter using each letter only once…

A:

Q: How many unique ways can the letters for M-A-X-I-M-U-M be arranged?

A: To find the number of ways that the letters can be arranged.

Q: Using the set {1,3,4,6,7,8,9}, how many odd numbers can we construct between 100-999 if no element…

A: An odd number is determined by the unit digit. If the unit digit is an odd number, then the number…

Q: How many poker “hands” are there of the form:         ?

A: Given problem Given that

Q: HURONTARIO be arranged

A: Total number of letters=10 Repeated letters:R=repeated twice, i.e, 2O=repeated twice, i.e, 2

Q: In how many distinct ways can the letters of the word MEDDLES be arranged? ..... ways

A: The given word is MEDDLES

Q: In how many ways can you form a four-letter word that can have repeating consonant but not vowel?

A: We need to find the number of ways of forming four-letter word that can have repeatingconsonant but…

Q: Fine the number of distinguishable permutations that can be formed from the letters of the word…

A: We are given the word MISSISSIPPI and we have to find the number of distinguishable permutations of…

Q: How many words can be formed by permutation of the letters of the word DEPRESSION such that each…

A: Given word DEPRESSION We have to calculate No. Of words such that obtained word does not contain 2…

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: 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: n crayon box contains 2 green, 3 yellow and 4 blue crayons. In how many ways can one choose 3…

A:

Q: How many words can be formed with the letters of the word ‘SWIMMING’ such that the vowels do not…

A: There are 1 S, 1 W, 2 I, 2 M, 1 N, 1 G. So there are total (1+1+2+2+1+1)=8 letters.   We can arrange…

Q: Explain why it is convenient to write the expression for the number of possible permutations in…

A: It is efficient and time saving, imagine if you want to write 4! in its entire multiplication form…

Q: An employee in the Department of Motor Vehicles for this state believes that it is easier for people…

A: There are 26 upper case letter, and 10 numerical digits (0 - 9). The first letter have 26 possible…

Q: How many different words can be formed with the letters of the word ‘SUPER’ such that the vowels…

A:

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

A:

Q: ) How many 4 digit numbers that are divisible by 10 can be formed from the numbers 3, 5, 7, 8, 9, 0…

A:

Q: students be invited, then compute the number of ways undergraduate students are invited.

A: Here use combination

Q: 5 numbers are to be chosen from {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} How many ways can 5 (not necesarilly…

A:

Q: Q2:- A) How Many ways you can write 12 digits number from the digits 1,2,3,4,5,6,7,8,9,10,11,12 if…

A:

Q: In how many ways can a 3-digit number be generated using the digits 1, 2, 3, 4, 5 if

A:

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

A: need to find How many distinct words can be formed by using all letters of the word TOOTH.

Q: 10. Using the digits 2, 4, 6, 7 and 9, how many five-digit numbers can be formed if the number is…

A: we have to find five digit number which is divisible by 2 using 2,4,6,7,9

Q: How many permutations can be made from the word CONVOCATION, such that all vowels must come…

A: The number of ways n items can be arranged, out of which, p items are of one kind and q items are of…

Q: How many natural number that are less or equal to 1000 and that are not multiplea of 3,5or7 exist

A: To find: Number of natural numbers ≤1000 that are not multiple of 3 or 5 or 7.

Q: In how many ways can you take 3 letters from the alphabet (lower-case only) such that any character…

A: Here AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION PLZ REPOST FOR REMAINING PARTS

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}