Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
12 Mar 2021, 03:15
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
72% (01:03) correct
28%
(01:26)
wrong
based on 93
sessions
History
Date
Time
Result
Not Attempted Yet
How many three-digit numbers can be formed without using the digits 2, 3, 5, 7 if the repetition of the digits is allowed?
(A) 216
(B) 180
(C) 162
(D) 156
(E) 125
(A) 216
(B) 180
(C) 162
(D) 156
(E) 125
14 Mar 2021, 20:20
Kudos
Bookmarks
Bunuel
How many three-digit numbers can be formed without using the digits 2, 3, 5, 7 if the repetition of the digits is not allowed?
(A) 216
(B) 180
(C) 162
(D) 156
(E) 125
(A) 216
(B) 180
(C) 162
(D) 156
(E) 125
Restrictions
1) Digits to be used: 0, 1, 4, 6, 8, 9
2) No repetition allowed
Let the number be xyz
Now x can take any value except 0, so 5 ways
y can take any values including 0, but excluding the digit used for x. So 5 ways
z can take remaining 4 values.
Total ways: 5*5*4=100 ways.
The answer is not in choices.
May be the question meant repetitions allowed.
Then x can take 5 values, and both y and z can take 6 values each.
Total: 5*6*6=180
B, but the question should be ‘repetition is allowed.’
