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How many different flags can be made from4 colors Red, Blue, Green, a
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Updated on: 13 Aug 2018, 07:08
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47% (02:07) correct 53% (01:28) wrong based on 148 sessions
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Foolproof method to Differentiate between Permutation & Combination Questions  Exercise Question #3How many different flags can be made from4 colors Red, Blue, Green, and White such that no color is repeated more than once? Options: A. 25 B. 24 C. 48 D. 60 E. 64 Learn to use the Keyword Approach in Solving PnC question from the following article: Article1: Learn when to “Add” and “Multiply” in Permutation & Combination questionsArticle2: Foolproof method to Differentiate between Permutation & Combination Questions
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Re: How many different flags can be made from4 colors Red, Blue, Green, a
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11 Apr 2018, 23:44
EgmatQuantExpert wrote: Learn the structured approach to identify permutation and combination question  Exercise Question #2
How many different flags can be made from4 colors Red, Blue, Green, and White?
Options: A. 25 B. 24 C. 48 D. 60 E. 64 There are 4 different colors which can be used to make the flags. When there is 1 color in the flag  4 possibilities When there are 2 colors in the flag  4*3 = 12 possibilities When there are 3 colors in the flag  4*3*2 = 24 possibilities When there are 4 colors in the flag  4*3*2*1 = 24 possibilities Therefore, there are a total of 4+12+24+24 = 64 possibilities(Option E) in which the flags can be made.
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Re: How many different flags can be made from4 colors Red, Blue, Green, a
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12 Apr 2018, 00:53
EgmatQuantExpert wrote: Learn structured approach to identify permutation and combination question  Exercise Question #2
How many different flags can be made from4 colors Red, Blue, Green, and White?
Options: A. 25 B. 24 C. 48 D. 60 E. 64 The question is incomplete the way it is.. 1) I would say  " different flags from 20 m cloth if one flag is .....", so it should be different types of flags.. I am sure it means this so we can leave it here.. 2) If I use two colors also, I can make 100s of different types of flags.. so the question could have been two ways.. A) "How many different types of flags can be made from using atleast one of 4 colors Red, Blue, Green, and White"  Without any restrictionsso a COMBINATION question.. one colour  4 ways two colours  4C2  6 ways three colour  4C3  6 ways four colour  4C4  1 way total = 17 ways B) "How many different types of flags can be made from using atleast one of 4 colors  Red, Blue, Green, and White in horizontal stripe/vertical stripes, each coloured being used once"  With restrictionsso a PERMUTATION question.. one colour  4 ways two colours  4P2  6*2=12 ways three colour  4P3  6*3!=24 ways four colour  4P4  4*3*2*1=24 way total = 64 ways
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Re: How many different flags can be made from4 colors Red, Blue, Green, a
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17 Apr 2018, 08:51
Solution Given:• We have 4 colours Red, Blue, Green, and White to form the flag. To find:• The number of ways we can form different flags from the 4 colours available. Approach and Working:• From the 4 colors available, we can form 4 different types of flag: o Flag with single color o Flag with two colors o Flag with three colors o Flag with four colors • Hence, total number of flags= Flag with one color +Flag with two colors + Flag with three colors+ Flag with four colors Flag with one color:From 4 colors, we can select 1 color to form the flag in \(^4c_1\)=4 ways. Flag with more than one colors:Since the order of colour matters in a flag, this is a case of permutation. • Thus, total number of flags with two colours= \(^4P_2\)=2 • In the similar fashion, total number of flags with three colours and four colours = \(^4P_3\)= 24 and \(^4P_4\)=24 ways respectively.
Thus, total number of flags= 4+12+24+24= 64 Hence, option E is the correct answer. Answer: E
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Re: How many different flags can be made from4 colors Red, Blue, Green, a
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17 Apr 2018, 09:06
Hey chetan2u, Apology for the inconvenience. We have updated the question. Regards
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How many different flags can be made from4 colors Red, Blue, Green, a
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09 Dec 2019, 18:37
EgmatQuantExpert wrote: Foolproof method to Differentiate between Permutation & Combination Questions  Exercise Question #3
How many different flags can be made from4 colors Red, Blue, Green, and White such that no color is repeated more than once?
Options: A. 25 B. 24 C. 48 D. 60 E. 64
Learn to use the Keyword Approach in Solving PnC question from the following article:
The number of flags that can be made using only 1 color is 4P1 = 4. The number of flags that can be made using exactly 2 colors is 4P2 = 4 x 3 = 12. The number of flags that can be made using exactly 3 colors is 4P3 = 4 x 3 x 2 = 24. The number of flags that can be made using all 4 colors is 4P4 = 4 x 3 x 2 x 1 = 24. Therefore, the total number of flags that can be made is 4 + 12 + 24 + 24 = 64. Answer: E.
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How many different flags can be made from4 colors Red, Blue, Green, a
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