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23 Nov 2017, 02:04
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Hi there,
Got a question off the android app: "POCKET GMAT MATH"
I don't agree with the answer they give and would be interested in what people think:
How many different four letter words, with or without meaning, can be formed using the letters of the word GOUVERNMENT such that the first letter is V and the last is N?
Their answer is 43 (7*6+1)
I think it should be 57 (7*1+7*6+1*1+1*7)
Interested in what people think
Many thanks
Nicholas
Got a question off the android app: "POCKET GMAT MATH"
I don't agree with the answer they give and would be interested in what people think:
How many different four letter words, with or without meaning, can be formed using the letters of the word GOUVERNMENT such that the first letter is V and the last is N?
Their answer is 43 (7*6+1)
I think it should be 57 (7*1+7*6+1*1+1*7)
Interested in what people think
Many thanks
Nicholas
23 Nov 2017, 07:44
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churchntj
there are 11 letters..
V and N are already used up, so we have to fill 2 places with 9 available...
but these 9 has 2 Es, so in actual, we have 9-1 = 8 different digits..
choose 2 out of 8 = 8C2 but these 2 can be arranged in 2! ways..
so ways = 8C2*2 = 28*2=56
there is also one way when both letters are E, so 1 more
total 56+1=57
you are correct with your answer
