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Updated on: 13 Aug 2018, 07:08
Originally posted by EgmatQuantExpert on 11 Apr 2018, 23:16.
Last edited by EgmatQuantExpert on 13 Aug 2018, 07:08, edited 6 times in total.
Last edited by EgmatQuantExpert on 13 Aug 2018, 07:08, edited 6 times in total.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
49% (01:57) correct
51%
(01:29)
wrong
based on 587
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Fool-proof 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:
Article-1: Learn when to “Add” and “Multiply” in Permutation & Combination questions
Article-2: Fool-proof method to Differentiate between Permutation & Combination Questions
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:
Article-1: Learn when to “Add” and “Multiply” in Permutation & Combination questions
Article-2: Fool-proof method to Differentiate between Permutation & Combination Questions
12 Apr 2018, 00:53
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EgmatQuantExpert
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 restrictions
so 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 restrictions
so 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
11 Apr 2018, 23:44
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EgmatQuantExpert
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.
