e-GMAT
How many 4-letter words can be formed using the alphabets of the word ENGLISH, if it is given that the 4-letter word contains alphabets G and L paired together, with G coming before L and repetition of alphabets being not allowed?
A. 60
B. 120
C. 180
D. 200
E. 240
OA A
How many 4-letter words can be formed using the alphabets of
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The word ENGLISH has 7 alphabets with no alphabet being repeated.AAPL wrote:e-GMAT
How many 4-letter words can be formed using the alphabets of the word ENGLISH, if it is given that the 4-letter word contains alphabets G and L paired together, with G coming before L and repetition of alphabets being not allowed?
A. 60
B. 120
C. 180
D. 200
E. 240
OA A
Since the two alphabets, G and L are already chosen, we are left with only two alphabets to be chosen.
The number of ways to select two alphabets = 5C2 = 5.4 / 1.2 = 10
Let club G and L as one alphabet.
So, we have three alphabets: (G&L, and two others)
# of 4-letter words contains alphabets G and L paired together = 3P3 * 10 = 3!*10 = 6*10 = 60 words.
The correct answer: A
Hope this helps!
-Jay
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