If four six-sided die are rolled, how many ways are there to have all distinct digits if order doesn't matter?

Q: A team of 7 players is to be selected from a group of 13 people. In how many ways can this be done?

A: Given data  A team of 7 players is to be selected from group of 13 people No of ways can be this…

Q: How many distinct arrangements of the letters in the word “footballers” are possible?

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Q: any permutations of the letters can be made from the word COCONUT? (Don't Hand writing in solution

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Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: From the above data We are given that Total number of cards = n =52 No of selected cards = r =3

Q: There are 10 students in a class. In how many ways can an instructor give at most three students a…

A: n = 10 Let x represent the number of students given grade A.   The number of ways a student can be…

Q: In how many ways can six books be lined up along a shelf?

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Q: How many ways can three people be selected from a group of seven people if order DOES matter

A: Given that, Total number of peoples = 7

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

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Q: If 4 coins are tossed, in how many ways can they fall?

A: Each coin has two possible outcomes - heads or tails.    H = Heads, T = Tails Each of the 4 tosses…

Q: In how many different ways can eight people be seated in a row?

A: Different ways that eight people can sit in a row.

Q: There are two copies each of 4 different books. In how many ways can they be arranged on a shelf?

A: GivenTwo copies each of 4 different booksTotal no.of books=2×4=8

Q: A mother, father, and their three children are to line up for a photo. In how many ways can these…

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Q: In how many ways can 7 people be seated in a row if only 4 chairs are available?

A: Here 4 chairs are available and 7 people can be seat.

Q: A School's working day is divided into six periods. How many different ways may five subjects be…

A: From the provided information,   5 subjects can be arranged in a 6 periods in P56 ways. Any of 5…

Q: In how many ways can 6 different cupcakes be arranged in a circular stand?

A: The number of ways n items can be arranged in a circle is equal to n-1!. The formula for n! is…

Q: How many different license plates can be made by using two letters followed by three digits selected…

A: The licensing plate should contain 5 places in which first 2 positions filled with letters and next…

Q: In how many ways can  8 people sit around a round table if two particular people must sit next to…

A: Given  Number  of people =8  We want to find how many ways to 8 people sit around round table if two…

Q: If a dealer randomly picks 5 cards from a standard deck that consists of 52 playing cards and then…

A: Introduction: The dealer first picks 5 cards from the standard deck, then shuffles the 5 cards and…

Q: How many ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

Q: A class has 10 students. How many ways can the class be grouped into 2 groups of equal size.

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Q: How many different patchwork quilts, four patches long and three patches wide, can be made from five…

A: Given: Five red and seven blue squares.   To determine: The number of different patchwork quilts…

Q: With a short time remaining in the​ day, a delivery driver has time to make deliveries at 5…

A: Given that, A delivery driver has time to make deliveries at 5 locations among the 9 locations.…

Q: In how many different ways can 9 people arrange themselves in a line to receive service from a…

A: Given information: There are total 9 people arrange themselves in a line to receive service from a…

Q: Suppose that there is a bag containing 6 marbles. How many ways can you draw 4 marbles from the bag…

A: The bag contains =6 marbles number of marbles drawn=4

Q: Ten people split up into five groups of two each.  In how many ways can this be done?

A: The number of combinations of r items from a group of n items where the order is not important is…

Q: In a hand of poker, 5 cards are dealt from a regular deck of 52 playing cards. How many different…

A: Given information: In a hand of poker, 5 cards are dealt from a regular deck of 52 playing cards.…

Q: Find the number of permutations using 4 different letters a, b, c, and d, if they are taken 2 at a…

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Q: In how many different ways can five red flags, two white flags, and 7 blue flags be arranged in a…

A: If all the flags were distinct, each flag being a different color, there would be 14! different…

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

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Q: An order for an iPad Pro can specify any one of two sizes (iPad Pro 11‑inch, iPad Pro 12.9‑inch),…

A: Given data: An order for an iPad Pro can specify any one of two sizes (iPad Pro 11‑inch, iPad Pro…

Q: In how many ways can a bag of three identical balls and four identical coins be formed from a group…

A: Given: Total number balls =12 Total number coins =12

Q: From a group of 20 nurses, 4 are to be selected to work a night shift. In how many ways can this be…

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Q: Five cards are dealt off of a standard 52-card deck and lined up in a row. How many such line-ups…

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Q: How many different arrangements can b

A: Given the word          "SIPNAYAN"

Q: How many 13-card hands dealt from a standard deck will have exactly seven spades?

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

Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…