In how many ways can the letters of the word 'LEADER' be arranged? (A) 5! / 2! (B C(6,2) x 4! P(6,5) x 2 6! / 2!

Q: How many ways can you get a four of a kind in a five card hand? Four of a kind is where you receive…

A: The number of ways to get a four of a kind in a five card hand is,

Q: In how many ways can a  friend visit his 3  friends  if he must visit all of them in a single day

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

Q: many different possibilities are there for arranging the

A:

Q: How many ways can 10 used cars at a parking lot be parked in a row if the 4 different black cars…

A:

Q: In how many ways can you arrange the letters of the word "ADVENTURE" so that D doesn't occur before…

A: Permutation is a technique to obtain the possible arrangements of listed items in linear order. It…

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: (a) How many three digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6 and 7 such that…

A: Any number which has 0 or 5 in the unit place is divisible by 5.  Case 1: when unit digit is 0 The…

Q: If 4 marbles are picked randomly from a basket containing 5 blue marbles and 8 yellow marbles, in…

A:

Q: How many ways exist to arrange 7 books (A, B, C, D, E, F, and G on the shelf,  if the books B and

A:

Q: How many ways can the letters of the word MAILBOX be arranged in a row so that  M and A Not…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: In how many ways a 4 - person sales team can be formed from a group of 12 salesmen and 8 seals women…

A: Solution: From the given information, there are 12 salesman and 8 sales women. Total number of…

Q: (a) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible…

A: As we want our 3-digit number to be divisible by 5, the number 5 will be fixed on the unit's place…

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: How many combinations of names were possible for those three babies?

A: Here given  Parents are having triplet babies and have put 5 unique name cards in a bowl. When the…

Q: . Five-digit-numbers can be formed from the six digits 2, 3, 5, 6, 7 and 0. If repetitions are not…

A:

Q: There are 4 men and 5 women in a room. The leader wants a participation from a group of 2 men and 2…

A:

Q: Can you give me an example of What is Permutations Rule (when all of the items are different?

A: Permutation rule:There are n different items and r number of selections and the selections are made…

Q: a restaurant offers 2 different flavours of coffee 3 different soup selection. in how many ways can…

A: Two step multiplication principle: Assume that a taskcan be broken up into two consecutive steps.…

Q: It's all about PERMUTATION - I'm how many different ways can 5 bicycles be parked if there are 7…

A: Given: n=7r=5 The number of ways 5 bicycles be parked in 7 available parking spaces is obtained as…

Q: Suppose 7 of the 15 players are left-handed. How many ways are there to select 3 left-handed…

A:

Q: You were tasked to take charged of the auditions for the female part of the stage play. In how many…

A: Let us analyze this problem for a bit. A hopeful does not care if she is selected first, second or…

Q: In how many ways can a person order one ice cream cone with 3 different flavors of ice cream if…

A:

Q: How many different ways can you arrange 2 letters from a set of 3 letters {T, S, U} such that…

A:

Q: How many ways can you have a 6-digit passcode on your phone if you start with a 9 and none of the…

A: We need to find the number of ways to have a 6-digit passcode, given that the first digit is 9 and…

Q: 2. How many different arrangements can be made by using all the letters of the word MATHEMATICS ? 3.…

A: Here use combination

Q: How many ways are there to pick 2 different cards from a standard 52-card deck such that a) the…

A:

Q: A mail man has special -delivery for 10 customers. (i) In how many ways can he deliver to all? ii)…

A: i) deliver to all means arranging 10 customers in  all ways possible Total number of ways = 10! =…

Q: For each of the following, indicate if it is a problem involving permutations, combinations, or…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

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

A: Let m choices to be made with n1 options for the 1st choice, n2 options for the 2nd choice, … , nm…

Q: In how many ways can a committee of two men and three women be formed from a group of eight men and…

A:

Q: How many ways can these numbers be arranged? How many numbers greater than 4,000,000 can be formed…

A: Here use combination

Q: In how many ways can a person order one ice cream cone with 3 different flavors of ice cream if…

A: Given,total no.of ice cream flavours=10

Q: 2. Suppose there is a race between 9 friends. How many ways can the race be completed if John is…

A: Here use concept of total arrangement

Q: How many different ways can you arrange 3 letters {T, S, U} such that repetition is allowed and the…

A: Permutation: A permutation is defined as the ways in which objects canbe arranged.There are two…

Q: 5. Four married couples have bought 8 seats in the same row for a concert. In how many. different…

A: a). The number of possible permutations of n object is n!. So, the number of permutation for 8…

Q: Your friend wants you to be the photographer at his wedding ceremony. During the photoshoot session,…

A:

Q: How many different ways can you arrange 2 letters from a set of 3 letters {L, S, U} such that…

A: There are 3 distinct letters. We must find the number of ways 2 of these letters can be arranged…

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: License plates in a particular state are to consist of 3 digits followed by 2 uppercase letters. How…

A: no.of digits=10  (0 to 10)no.of uppercase letters=26   (A to Z) 9 ways fill it (0 , 2, 3...10) 9…

Q: Suppose you are dealt a 5-card poker hand and your first 2 cards are both twos. How many ways are…

A: Given that, in a five card poker hand, first two cards are "2". There are 5 ways in which two "2"…

Q: From a class containing 5 boys and 6 girls a group of 5 students is to be selected. There are how…

A: We have given that Number of boys = 5 Number of Girls = 6 We have to select 5  students

Q: 2.) The Catonsville Community Place House is a small Black Box Theater. There are 2 chairs in the…

A: To find: The number of chairs in row 4 if the same pattern is followed. Given information: The…

Q: How many nonsense words of 3 letters can be formed from the letters c, d, e, f and g if a.…

A: Permutation and combination used to calculate the number of possible ways to arrange or select 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: How Many perMutations of the digits 0, I, 2, 3. 4, 5, 6, 7, 8, 9 are there in which the digitss…

A: The permutation represents the number of ways something can be arranged. In permutations or…

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 three-digit numbers can be constructed from the digits 0, 1,2,3,4,5,6,8,9 if the number…

A: Given digits is0, 1, 2, 3, 4, 5, 6, 7, 8, 9Total no.of digits=10

Q: 8. Find the number of different salads consisting of one or more of these vegetables – Tomatoes,…

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

Q: Consider a Little League team that has 15 players on its roster. (a) How many ways are there to…

A:

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