11 How many 6-letter words (even without meaning) can be created from the letters of the word 'SPIDERMA N', such that the word begins and ends with either the letter I or E? Note: DO NOT use a comma and space bar.

Q: In how many ways can the letters of the word HORRAR be arranged if vowels are together?

A: Given information- We have given the letters of the word- HORRAR We have to find a number of ways to…

Q: 4) In how many ways can 26 letters of English alphabet be arranged so that none of the pattern net,…

A: Image is attached with detailed solution.

Q: How many different 5-letter words can be made a. if the first letter must be C, Z, T, or L and no…

A:

Q: In how many different ways can the letters in "restlessness" be arranged?

A: From the provided information, The total letters in word “restlessness” are 12. The letters are…

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: In how many ways can the letters of the word “rhubarb” be arranged so that all of the vowels are…

A: Given that, The letters of the word “rhubarb” should be arranged such that all vowels are together.

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: 13) In how many ways can 26 letters of English alphabet be arranged so that none of the pattern net,…

A: A factorial of a positive integer n is the product of n, and all of the positive integers less than…

Q: 8. The number of permutations of 11 objects taken 4 at a time is ---

A: Solution :  we have to find number of permutations of 11 objects taken 4 at a time.

Q: In how many ways can we select a committee of five persons from a group of five women and six men…

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: How many different 7-letter words can be made a. if the first letter must be G, X, P, or L and no…

A: Concept: Since, in every case first letter shoud be G, X, P, or L.  Hence, total number of ways for…

Q: 9. How many ordered sets of 3 even numbers are there that will add up to 60? How many different ways…

A: Combinations: The combination is a mathematical method that determines the number of possible…

Q: IV How many different number plates for cars could be made if each number plate contains four (4) of…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: How many different letter arrangements can be made from the letters in the word of COMMUNICATION 2

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: How many different 7-letter words can be made a. if the first letter must be E, X, T, or L and no…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: In how many ways can the letters of the word ACCOMODATIONS be written 111.

A:

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: 3. In how many ways can a committee of committee must have 3 seniors? formed from 4. A box contains…

A: Given,no.of juniors=5no.of seniors=7Total no.of peoples =12

Q: In how many ways can we compose a word of 3 letters from the set {X, Y, Z, F, S} if repetition is…

A: Given, Letter set  = {X, Y, Z, F, S}  words should be 3 letters,

Q: 5. How many arrangements can be made of the letters P, Q. R, S, T, taking two letters at a time if…

A: GivenThe letters are {P,Q,R,S,T}No. of letters = 5

Q: 3. In how many different ways can the letters of the word 'COMPUTER’ be arranged?

A: Solution (1)

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: How many distinguished permutations of the set of letters, {a,b, c, c, d, d, d} can be formed.

A: Given that, {a, b, c, c, d, d, d} a = 1 b = 1 c = 2 d = 3

Q: Six people, who are denoted by the letters A, B, C, D, E, F, are to occupy six adjacent seats in one…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: How many different ways can a club of 25 members fill the positions of president, vice president and…

A: Given: The positions to be filled by the club members are president, vice president, and Secretary.…

Q: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow ball, 1 black ball and 1 green…

A: Given that  Jack has  Red ball = 1 Orange ball = 1 Blue ball  = 1 yellow ball = 1 black ball = 1…

Q: 20. )A box contains 6 red balls. 7 blue balls., and 8 white balls. In how many ways can the 3 balls…

A: Determine the number of ways that the 3 balls can be chosen for a different color.   The number of…

Q: 2.24 Students at a private liberal arts college are clas- sified as being freshmen, sophomores,…

A: Given: Students are classified as freshmen, sophomores, juniors and seniors. Hence, number of…

Q: How many permutations can be made out of the letters in the word CAROLINE taken 4 at a time?

A: There are 8 letters in the word CAROLINE. We can take 4 letters from 8 letters in 8P4=8!(8-4)!=1680…

Q: 7) A tourist in France wants to visit 12 different cities. How many different routes are possible?…

A: Answer of q-7    12 different city to visit We have to find nom of different routes possible Here…

Q: In how many ways can 16 balls be drawn from an urn containing 3 red balls, 8 white balls, and 5 blue…

A: We have given that,  Red balls = 3  White balls= 8  Blue  balls= 5 Then,  We wil find the how many…

Q: How many different 7-letter words can be made a. if the first letter must be C, X, or T and no…

A:

Q: (a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 if…

A: The counting can be done in 2 different ways, i.e. in first case the 1st digit can be 3 and in the…

Q: d) How many arrangements are there of the letters in the word SASKATOONS?

A: d) The number of arrangements are there letters in the word SASKATOONS is obtained below: There are…

Q: In how many ways can the alphabet in the word "ILOVESTATISTICS" be arranged if the letter S must be…

A: Given word is  "ILOVESTATISTICS"Total no.of letters in the given word =15Letter "S" must be seated…

Q: 1. How many strings of three lowercase English letters contain at least one vowel?

A: Given: How many strings of three lowercase English letters contains at least one vowel

Q: in how many different ways could Dopey not be between Grumpy or Sleepy

A: Grumpy is second from the right and Sleepy is third from the left. Total positions where Dopey can…

Q: 12 In how many ways can a starting line up composed of 5 players be selected from a team with 14…

A: It is given that n=14 and r=5.

Q: 10. ow that if there are 30 students in a class, then at least two have last names that begin with…

A:

Q: 11. If there are 90 people, can there be at least 2 who have the same first digit of a cell number…

A: given , 90 people  we have to find can there be at least 2 people whose first and last digit of cell…

Q: Refer to a bag containing 20 balls-six red, six green, and eight purple. In how many ways can we…

A:

Q: In how many ways oul od class of 32) be chaskn to aitend cenforance, cam 2ostudents

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

Q: 11. In how many ways can we seat 7 people at a round table with a certain 3 people not in…

A:

Q: 3. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels…

A: The word OPTICAL has three vowels O,I and A. Consider these three letters as 1 and the remaining…

Q: in how many ways could 17 people be divided into five groups containing respectively 1 2 5 6 and 3…

A: The total number of people is 17.

Q: you are putting 4 spacers, 10 gold charms, and 8 copper charms on a bracelet. how many…

A: Given 4 spacers, 10 gold charms, and 8 copper charms on a bracelet. Total number of items =4+10+8=22…

Q: 3. How many permutations of the 26 letters of the English alphabet do not contain MATH, PATH, SUM,…

A: Total number of permutations of n distinct objects is given by n! Then, the number of permutations…