a) In how many ways can the letters in the word SUCCESS be arranged? b) In how many ways can the letters in the word SUCCESS be arranged if no two S's are next to one another? HINT: Be careful to undo the count for permutation of the identical letters. To undo, review the way we derive the Combination formula from Permutation formula.

Q: How many distinguishable permutation in the word VANQUISH?

A: Since all 8 letters in VANQUISH are distinct.There are 8 choices for the first letter. Once a first…

Q: How many distinguishable permutations are possible with all the letters of the word MISSISSIPPI?

A: Given ,  Word - MISSISSIPPI number of letter in word MISSISSIPPI = 11

Q: In the BS Lottery, players choose 5 numbers out of 30. They win if they choose the same 5 numbers as…

A: In the BS Lottery, players choose 5 numbers out of 30.

Q: How many permutations of the letters A, B, C, D, E, F, G are there in which the three letters ABC…

A: Given letters are : A, B, C, D, E, F, G. and it is given that three letters A, B and C appears…

Q: In how many different ways can four keys, not two of which are the same, be arranged on a key ring…

A: We have to find the number of ways to arranging four keys on a key ring that has no clasp. Since the…

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: In how many ways can the 25 members of a 4H club select a president, a vice- president, and a…

A: The permutation formula is given by

Q: In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: Solution: Let L1 and L2 be the first two letters of a license plate.  For L1 we have 26 options…

Q: (a) In how many ways can we select 4 people from a group of 10 people and award them first through…

A: a) Since we want to give them awards by ranking, so here arrangement matters. We will have to use…

Q: Four numbers are randomly selected from a beaker of balls numbered 1 through 35. How many…

A:

Q: In how many ways can you seat 12 people at two round tables with 6 places each? Think of possible…

A:

Q: 4. If a license plate pattern is LLL NNNN where L is a letter and N is a number digit, how many…

A: Permutations: A permutation of different objects taken r at a time is an arragement of r out of the…

Q: How many distinct permutations can be formed using the letters of the word "CHARACTER"? There are…

A: We want to find number of distinct permutation of word CHARACTER.

Q: ow many distinct permutations can be made from the letters of the word INDEPENDENCE?

A: We know, if out of n things k1 are of first type,k2 are of second type...and so on Such…

Q: How many three-letter permutations can be formed from the first nine letters of the alphabet?…

A: Given that  How many three-letter permutations can be formed from the first nine letters of the…

Q: 2. A teacher wants to randomly choose 5 people from the class of 30 to help out at the open day BBQ.…

A: No.of students in a class, n = 30 No.of people chosen from the class to help out at the open day…

Q: 5 cards are drawn from a standard deck of 52 playing cards. How many different 5-card hands are…

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: In a contest where 7 contestants are entered, in how many ways can the distinct prizes be awarded

A: Ans- Given,In a contest where 7 contestants are entered, In how many ways can the distinct prizes be…

Q: A musician plans to perform 5 selections. In how many ways can she arrange the musical selections?…

A:

Q: Determine whether the situation described below involves a permutation or a combination, and then…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: In how many ways can you make any arrangement of 3 vowels and 5 consonants taken from the alphabet…

A: In how many ways can you make any arrangement of 3 vowels and 5 consonants taken from the alphabet…

Q: . How many ways may 5 students be seated in a row of 5 chairs for a pictorial?

A: Note: According to the guidelines only one question will be answered please upload other questions…

Q: (a) In how many ways can a standard deck of 52 cards be shuffled? (b) In how many ways can the cards…

A:

Q: Apply Permutation to solve for the following problem: A. With repetition allowed, how many group of…

A: Solution

Q: There are 100 people who are in the neighboorhood watch.  30 of them are between the ages 30-39, 20…

A: Combination: A combination is a selection of objects where order is not important. If n is total…

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

A:

Q: How many possible permutations can be formed from the word “CORONA”

A:

Q: 1. In how many ways can 8 students be seated in a row of 8 seats if 2 of the students insist on…

A: We have to find how many ways can 8 students be seated in a row of 8 seats if 2 of the students…

Q: 6, How many ways you can arrange the letters in the word SCRAPED under the following condition; no…

A: the word is SCRAPED there are total of 7 letters the first place can be filled in two ways  A And E…

Q: A student has 10 books to arrange on a shelf of a bookcase. In how many ways can the 10 books be…

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

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: 23. How many ways may 5 students be elected from a club with 45 members? 24.How many two-digit…

A: 23) Total number of members = 45 Number of members to be selected = 5 Number of ways the selection…

Q: In how many ways can the position of president and secretary of an organization be  filled if…

A:

Q: An election ballot asks voters to select three city commissioners from a group of six candidates. In…

A:

Q: ! Please use permutation notation for the question below: In how many ways can five students be…

A: Solution

Q: 5 cards are drawn from a standard deck of 52 playing cards. How many different 5-card hands are…

A: Given that: 5 cards are drawn from a standard deck of 52 playing cards.

Q: how many six-digit numbers can be formed so that 2 are in the place of thousandth and 5 in the place…

A: First number can not be 0. So we can pick the first number in 9 ways. (1 to 9)

Q: Determine whether the situation involves a permutation or a combination. Encircle your answer. 1.…

A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…

Q: 7. How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 and 6 if the…

A:

Q: In a certain general assembly , three major prizes are at stake . In how many ways can the first,…

A: Given :     In a certain general assembly, three major prizes are at stake.   To find : The number…

Q: 11. In the Colorado Power Ball Lottery you choose 5 white numbered balls from a group of 75 and 1…

A: In the colorado power ball Lottery you use a 5 white numbered balls from a group of 75 and 1 red…

Q: A group of 16 people must select a president, a vice president, a secretary, a treasurer, and an…

A: Que (9):   Total number of people in the group = 16   Number of ways to select a president, a vice…

Q: D. Write the permutation notation and evaluate. 1. How many ways you can choose a president, vice-…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: How many 5-number license plates can be made using the digits 1,2,3,4,5,6,7, if an odd digit must…

A: Given Data: The total number of digits available is: n=7 The numbers required on number plate is:…

Q: In how many ways can a person select seven party guests from 12 women  if he is to avoid having a…

A: Here we will use the concept of Combination

Q: How many permutations are there of the letters in the word 'CHARGES', if all the letters are used…

A: The formula for Permutation is nPr = n!/(n – r)!.

Q: 1. A small town has only 500 residents. Must there be 2 residents who have the same birthday? Why?…

A: (1) A small town has only 500 residents. Claim: There are 2 residents who have the same birthday.…

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

A: Need to find How many words can be formed by using all letters of the word SEEDS

Q: In the BS Lottery players choose 6 numbers out of 30. They win if they choose the same 6 numbers as…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.