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Math Review Question: 6 Page: 297 Difficulty: medium
Counting property: We can arrange n unique items in n! ways There are 5 unique letters in STUDY, so we can arrange those letters in 5! ways
5! = (5)(4)(3)(2)(1) = 120
Answer: 120
Cheers, Brent
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Brent Hanneson – Creator of greenlighttestprep.com If you enjoy my solutions, you'll like my GRE prep course. Sign up for GRE Question of the Dayemails
Math Review Question: 6 Page: 297 Difficulty: medium
Alternate approach:
Take the task of seating the 6 students and break it into stages.
Stage 1: Select a letter to be the FIRST letter There are 5 letters to choose from, so we can complete stage 1 in 5 ways
Stage 2: Select a letter to be the SECOND letter There are 4 letters remaining to choose from, so we can complete this stage in 4 ways
Stage 3: Select a letter to be the THIRD letter There are 3 letters remaining to choose from, so we can complete this stage in 3 ways
Stage 4: Select a letter to be the FOURTH letter There are 2 letters remaining to choose from, so we can complete this stage in 2 ways
Stage 5: Select a letter to be the LAST letter There is 1 letter remaining to choose from, so we can complete this stage in 1 way
By the Fundamental Counting Principle (FCP), we can complete all 5 stages (and thus seat all 5 letters) in (5)(4)(3)(2)(1) ways (= 120 ways)
Answer: 120
Note: the FCP can be used to solve the MAJORITY of counting questions on the GMAT. So, be sure to learn
RELATED VIDEOS FROM MY COURSE
_________________
Brent Hanneson – Creator of greenlighttestprep.com If you enjoy my solutions, you'll like my GRE prep course. Sign up for GRE Question of the Dayemails
Re: In how many different ways can the letters in the word STUDY [#permalink]
25 Nov 2019, 07:20
This question despite its math seriousness sounds a little bit funny. I'm really glad that I found an answer here but usually I use papersowl.com essay review for more information on how to do the right decision. And how you choose the difficultness of this question? Why it is medium? Where I can find more information or review about that? Anyway, thanks to a previous member for adding these helpful videos. Sometimes it is more understandable than a regular text.
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