Find the value of the factorial. 7! 7! = (Type a whole number.)

Q: Find the number of distinguishable permutations of the letters in each word below. (a) initial (b)…

A: a) total distinguishable permutations : initial total letter in initial word = 7 total i's = 3 So,…

Q: Find the number of distinguishable permutations of the digits of the number 348 838

A: Given number is 348838. Total digits in a number=6 8 occurs 3 times and 3 occurs 2 times. We have to…

Q: How many ways can nine different books be arranged on a shelf? This type of problem is simply the…

A: There are 9 different books.we have to find the number of ways to arrange it on shelf.

Q: 5. A bag of 10 apples contains 2 rotten apples and 8 good apples. A shopper selects a sample of…

A: (a)To calculate the possible number of samples.Given:

Q: Which card(s) should you turn around to test the following statement: "if there is a vowel on one…

A: here given, assume that a deck of cards , where each card has a letter on one side , and number on…

Q: included in every selection? 7. How many permutations can be made from the letters in the words a)…

A:

Q: Decide whether the exercise involves permutations or combinations, and then solve the problem. There…

A: Topic- permutations and combinations

Q: In how many ways can you seat three students and two teachers in the arrow of four chairs?

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Simplify the permutation.P(n,2)

A: We have to simplify the permutation Pn,2.

Q: Does the problem, 'A medical researcher needs 6 people to test the effectiveness of an experimental…

A: A medical researcher needs 6 people to test the effectiveness of an experimental drug and 13 people…

Q: Find the permutation. A picture is to be taken by lining up 5 of the 13 players of volleyball on…

A: Topic =  permutation

Q: 6 people

A: This question is based on permutations and combinations.

Q: Determine whether the following problem involves a permutation or a combination and explain your…

A: No. of people who purchased raffle tickets(n)=50 No. of prizes(r)=3 The objective is to find the no.…

Q: (a) Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? is 31

A: To Find the value of (?, 4) and (?, 6) using permutation formula, where ? is 31.

Q: a. Roll all 3's? b. You roll all odd numbers? c. You roll at least one 5?

A:

Q: How can we use R to compute the number of ways we can pick a card from the suit heah a standard deck…

A: Total number of cards in standard deck of cards = 52 There are 4 suits of cards in standard deck of…

Q: (c) Find the number of distinct sets of 5 cards that can be dealt from a deck of 52 cards. () Find…

A:

Q: a) Find the number of indistinguishable permutations of the letters in MATTRESSES b) How many 10…

A: Given word is " MATTRESSES"letter 'T' is repeated 2 timesletter ' S' is repeated 3 timesletter 'E'…

Q: n-factorial, n!, is the number of ordered arrangements of n distinct items repetition not allowed…

A: Consider that for arranging the DVDs, repetition is not allowed.Thus, the 1st DVD would have 6…

Q: (a) Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? is 39

A: The permutation formula is defined as follows:

Q: II. Evaluate the following permutations.

A: here use permutation formula

Q: Consider the word BASKETBALL: a.     How many permutations are there?     b.     How many…

A:

Q: Find the number of distinct permutations of the letters of the word COMMOTION.

A: The number of distinct permutations are given by =n!x! where n is the total number of letters and x…

Q: How many four-digit numbers can be formed from the digits 0, 1, 2, 3, 5, 7 & 9 without repetition?…

A: Given digits are: 0, 1, 2, 3, 5, 7, 9 Total digits = 7

Q: 3. (a) Find the number of distinct permutations that can be formed from all of the letters of the…

A: Permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear…

Q: Which of the following situation illustrates permutation? choosing to literature books to buy in a…

A: Solution

Q: Evaluate the factorial or permutation. P(n,0) Choose the correct answer below. O A. n! О в. о Ос. 1…

A:

Q: 18 How many ways can the letters of the word MATH be arranged in a row? O 24 12 O 6 O 1

A: We have given that the word MATH.

Q: New Jersey Pick 6  In the New Jersey Pick 6 lottery game, a bettor selects six  different numbers,…

A: First need to know about permutations and combinations.Permutation: Permutations are the different…

Q: Giver the o 6-

A: Solution of this question is

Q: 23 Find the number of permutations of all the letters of the word NOTEPAD if: a) the letters can be…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 25. On a TV quiz show, a contestant is asked to pick an integer at random from the first 100…

A:

Q: I am having trouble with question 6 part b and c because I don’t understand what they mean by the…

A: Number of matchstick squares are 5, 9, 13.........which is an arithmetic progression with first term…

Q: a maths debating team consist of 4 speakers. a) in how many ways can all 4 speakers.  a.) In how…

A: Here given that a maths debating team consist of 4 speakers. we have to find a.) In how many ways…

Q: Find the number of distinguishable permutations of the letters in each word below. (a) initial (b)…

A: In this question, concept of permutation is used. Permutation Permutations are frequently confused…

Q: 2. Which word has the fewest permutations of its letters? а. Ice cream b. muffin С. cake d. pie

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

Q: Find the number of permutations of the word "DIFFERENT"

A: The word is DIFFERENT Total number of alphabets = 9 Here F is repeated twice E is repeated twice

Q: a) In how many ways can the letters in the word SUCCESS be arranged? b) In how many ways can the…

A: no of ways of arrange of  "n" letters = n! No of ways of arrangement of 'n' letters in which 1 item…

Q: Use the 'Permutations' formula to evaluate the expression P(29, 3).

A: Given that the expression: P (29, 3) The permutation formula is given by, Pn,r=Prn=n!n-r!…

Q: A. Using inductive reasoning to predict the next number. 1. 5, 10, 15, 20, 2. 9, 16, 25, 36, 3. 15,…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 27. How many distinguishable permutations are there for the letters of MATHEMATICS taken all…

A: Given that  Word : MATHEMATICS Number of letters in the word (n) = 11 Number of times distinct…

Q: In an experiment on social​ interaction, 9 ​people, including​ Darrell, will sit in 9 seats in a…

A: Given The data is as follows: Total no. of people = 9 No. of seats = 9

Q: umber of ways you can wear 10 outfits to school each day in a 5 day week. a. Combination b.…

A: Given data, Number of outfits n=10 Number of days in a week r=5

Q: B. Card is drawn from a standard deck of 52 cards. 1. Getting a red card. 2. Getting an ACE.

A: According to the given information In a standard deck of cards there are 6 red card  So the…

Q: 3/7 of the students in a school are in sixth grade.     How many sixth graders are there if the…

A:

Q: 5. Mo has 140 songs on his mp3 player. a) How many different possibilities are there for the first…

A: Topic:- permutations and combinations

Q: Imagine you’re running a basketball camp. You have all 20 athletes put their name in the cap, and…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: How many permutations of the letters ABCDEFG contain a) the string BCD? b) the string CFGA? c) the…

A: Given letters is ABCDEFGTotal no.of letters=7

Q: Determine whether the following problem involves a permutation or combination. (It is not necessary…

A: The only difference between permutation and combination is , In permutation the order of the subject…