Suppose we want to Choose 4 Colors, replacement, from 17 distinct Colors. without Ca) Hew many Ways Can this be done, if the order the Choices is not taken into Consideration? Of (6) How many ways Can this be done, if the order Of the choices is taken into Consideration?

Q: Suppose we want to choose 5 colors, without replacement, from 14 colors. a) how many ways can this…

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Q: 3. A child wants to draw a picture using only three different colors from a set containing twelve…

A: No.of different color pencils, n = 12 No.of different colors use to draw a picture, r = 3 The…

Q: | st 5. There are 10 horses in a race. In how many ways can one pick the top three finishers (1st…

A: 3 horses can be selected out of 10 in 10C3=120 ways. Therefore one can pick top three finishers in…

Q: How many ways are there to arrange 12 identical apples and five different oranges in a row so that…

A: Here, arrange 12 identical apples and five different oranges in a row so that no two oranges will…

Q: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue, green, and…

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Q: Suppose we want to choose 6 colors, without replacement, from 9 distinct colors. (a) How many ways…

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Q: I have 8 different rings that I wear. How many different groups of 3 rings do I have to choose from?

A: the question is choosing 3 out of 8 and order doesn't matter So we going to use combination a…

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

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Q: Suppose we want to choose  5  colors, without replacement, from  15  distinct colors. (a) How…

A: If the order of the choices is taken in to consideration, we are computing permutations.   If the…

Q: Suppose there is a club of 15 people. In how many ways can a committee of 3 people be selected?

A: Our objective is to find the number of way

Q: A race has 10 runners. In how many ways can the first three places be decided?

A: Here use combination

Q: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow 1, 1 black ball and 1 green…

A: Given :  jack has 1red ,1 blue,1 orange,1 yellow,1 black and 1 green ball then no of arrangement to…

Q: Suppose we want to choose 4 colors, without replacement, from 18 distinct colors. How many ways…

A: From the provided information, Total distinct colors = 18 Number of colors to be chosen = 4 If the…

Q: Suppose a designer has a palette of 9 colors to work with, and wants to design a flag with 3…

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Q: Suppose we want to choose 5 colors, without replacement, from 14 distinct colors. (a) How many ways…

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Q: A troupe of  12  dancers is going to line up on stage. Of these dancers,  6  are wearing black and…

A: By using the knowledge of permutations we can solve the problem.

Q: Suppose we want to choose  3  colors, without replacement, from the  4  colors red, blue, green, and…

A: It is given that there 4 colors red,blue,green and purple.  and we need  to choose 3 colors without…

Q: Consider an alphabet that has 21 consonants and 5 vowels.  In how many ways can you make any…

A: This is from combinatorial.

Q: In how many ways can 12 different books be distributed among four chi dren so that (a) each child…

A: Given: Number of books = 12 Number of children = 4

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

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

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Q: Suppose a designer has a palette of 12 colors to work with, and wants to design a flag with 5…

A: Given that a designer has a palette of 12 colors to work with, and wants to design a flag with 5…

Q: A box contains 5 green, 7 yellow, and 10 orange ping pong balls. How many ways can 5 balls be…

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

Q: Suppose we want to choose 6 colors, without replacement, from 13 distinct colors. (a) If the order…

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Q: Suppose we want to choose 5 colors, without replacement, from 14 distinct colors. (a) If the order…

A: Suppose we want to choose 5 colors without replacement from 14 distinct colors

Q: Suppose we want to choose 5 colors, without replacement, from 15 distinct colors. (a) How many ways…

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Q: Suppose a designer has a palette of 14 colors to work with, and wants to design a flag with 4…

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Q: Suppose we want to choose 7 colors, without replacement, from 10 distinct colors. (a) If the order…

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Q: A student wants to buy 3 CDs. Assume that they are interested in 6 CDs featuring the piano, 4 CDs…

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Q: In a particular lottery, 8 winning numbers are drawn from a group of 53 numbers. The order that the…

A: Total numbers of lotteries are 53. The total winning number are 8.

Q: In how many ways can 8 books be choosen from a group of nine?

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Q: In how many ways can four aces be drawn from a deck of cards? (Order is not important.) | way(s)

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Q: Suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple,…

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Q: Five cards are selected out of 52. In how many different ways can this be done if: they contain the…

A: total cards are 52 cards.  they are 13 clubs , 13 spades , 13 hearts ,13 diamonds clubs and spades…

Q: 1. There are 52 playing cards. Not considering their order, in how many ways you can choose 12…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Suppose we want to choose 3 colors, without replacement, from the 4 colors red, blue, green, and…

A: Permutation and combination

Q: A magician would like to perform a magic trick using 30 distinct cards, each labelled with a number…

A:

Q: Suppose we want to choose 6 colors, without replacement, from 14 distinct colors. (a) If the order…

A: We need to find no. of ways.

Q: Suppose a designer has a palette of 15 colors to work with, and wants to design a flag with 5…

A: Given that a designer has a palette of 15 colors and he wants to design a flag with stripes, all of…

Q: A professor wants to choose a group of 6 students out of a class of 18. The order that they choose…

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Q: The Mars company offers customers the opportunity to create their own color mix of M&M’s candy.…

A: It can be calculated by using combination formula  C(n,r)=n! /(n−r)!(r)!

Q: Suppose we want to choose 4 colors, without replacement, from 17 distinct colors. (a) How many ways…

A: Given that 4 colors are selected without replacement from 17 distinct colors. a) The number of ways…

Q: You have one pile of 11 building blocks, each one a different color, and you also have another pile…

A: Since the color at each level of the tower matter, we will use permutations to find the possible…

Q: Suppose we want to choose   7 colors, without replacement, from   9 distinct colors. How many…

A: Solution: From the given information, 7 colors without replacement should choose from 9 distinct…

Q: Suppose we want to choose 6 colors, without replacement, from 9 distinct colors. (a) If the order of…

A:

Q: 1. In how many ways can students in a college be classified according to year (1st to 4th) if there…

A: Given that 1. students in a college can be classified according to year (1st to 4th) if there are 10…

Q: 3. In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels…

A: The word OPTICAL has three vowels O,I and A. Consider these three letters as 1 and the remaining…

Q: (3) In a certain state license plates are formed by choosing 2 letters followed by 4 digits without…

A: we have to form license plates using 2 letters followed by 4 digits. Then license plate is of the…

Q: 1. Assuming that any skirt can be paired with any blouse, in how many ways can Anna select her…

A: Here close friend invited Anna to her birthday party. Anna has 4 new blouses (stripes, with ruffles,…

Q: Suppose we want to choose 4 colors, without replacement, from 18 distinct colors. (If necessary,…

A: We have to find number of ways to choose.