An urn contains ten blue balls numbered 1 through 10 and ten red balls also numbered 1 through 10. Five balls are extracted without replacement from the urn. How many combinations (order irrelevant) will contain only odd numbered balls? Five balls are extracted with replacement from the urn. How many combinations (order irrelevant) will contain only odd numbered balls? Five balls are extracted without replacement. How many combinations (order irrelevant) consist of at least 3 red balls?

Q: urn contains m number of red balls and n number of white balls. Two balls are selected without…

A: Given: n(red) = m n(white) = n Total number of balls = m+n P(first ball is red) = P(2 red) + P(1st…

Q: Explain the difference between a permutation and a combination of n items taken r at a time.

A: Two types of counting problems occur so frequently that they deserve specialattention. These…

Q: Find the combinations & permutations. |20. Draw in order 5 of 9 items without replacement. Select 8…

A: # GIVEN:Find the combinations & permutations.    Draw in order 5 of 9 items without replacement.…

Q: . How many are greater than 330 in a group of 3 digit numbers forme d 5 where digit (s) may be…

A:

Q: Q6. In how many way, can a manager arrange 15 employees into 5 groups. * O 756756 O 168168000 O…

A: Given that, n= 15 And r= 5

Q: 28 A box contains 5 blue marbles, 3 green marbles, and 7 red marbles. How many marbles must be…

A:

Q: h) How many ways can someone pick out who they think will finish 1st and 2nd in a car race with 8…

A: By using permutation and combination

Q: How many ways are there to choose four aces from a standard 52-card deck? How many ways are there to…

A: Number of aces = 4 The number of ways choosing 4 aces is ways = 4! ways= 4 x 3x 2x 1 ways = 24

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: he word "Knickknack" if "nack" goes together in a

A: Given: Total number of letters = 10  Number of letters to be together = 4 Number of 'k' apart from…

Q: A volleyball team has ten players. To play a game, 6 players are needed to play positions numbered…

A: No. of players in the volleyball teamNo. of players needed to playThe positions are numbered from…

Q: suppose 4 marbles are dawn from an urn containing 5 red and 4 blue marbles, and the number of blue…

A: The probability distribution is binomial. Probability of the marble being blue=49=0.444

Q: Suppose that a class of 20 students is assigned to write an essay.       Suppose 3 essays are…

A: Total number of students = 20 Total number of groups of selecting 3 essays can be obtained as:

Q: In how many ways can 5 persons be seated in a room where there are 10 seats?

A: We have to find number of ways to seat people in room.

Q: Three cards are chosen without replacement from a deck of 52 cards and placed in order from first to…

A: In the deck of 52 cards, there are total 4 6's. (One for each of hearts, diamonds, spades and clubs)…

Q: 9. There are 3 different Geometry books, 3 different Algebra books, and 4 different Calculus books…

A:

Q: There are 42 runners in a race. How many ways can the runners finish first, second, and third? There…

A: there are 42 runners in a rece we have to find out the no. of ways can finish first, second and…

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: A coin is tossed five times. In how many ways can it fall three heads and two tails?

A:

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: Out of 6 children, in how many ways can a family have at least 1 girl?

A:

Q: Suppose you have a bag of 10 marbles numbered 1 through 10. Suppose marbles 1, 2, 3, and 4 are red,…

A:

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: 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: A race is being run by ten horses. How many distinct permutations of first, second, and third place…

A: Let n be the number of horses run in a race. i.e. n=10 and r be the number of places to be awarded.…

Q: In how many ways can 5 sets of numbers be picked from 50 numbers in a lottery?

A: From the provided information, Total numbers in a lottery = 50 The required number of ways of…

Q: A lottery will randomly choose a four digit number with the following procedure: 10 tiles each with…

A: Ten tiles numbered 0 to 9 are placed in a box.  Four tiles are picked one by one to form a 4-digit…

Q: A bag contains two red marbles, two green ones, one lavender one, three yellows, and two orange…

A:

Q: A bag contains three red marbles, one green one, one lavender one, three yellows, and three orange…

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