How many numbers lying between 3000 & 4000 and which are divisible by 5 can be made with the digits 3,4,5,6,7 & 8? (digits are not to be repeated in any number).
A 11
B 12
C 13
D 14
E 8
Permutations/Combinations
This topic has expert replies
-
- Master | Next Rank: 500 Posts
- Posts: 138
- Joined: Mon May 01, 2017 11:56 pm
- Thanked: 4 times
GMAT/MBA Expert
-
- GMAT Instructor
- Posts: 41
- Joined: Mon Mar 12, 2018 9:54 am
- Followed by:1 members
With the restriction given, you know the number will need to be 3 __ __ 5. So you only need to find the number of possibilities for the tens digit and the hundreds digit. The only numbers still available are 4,6, 7, 8, so you have 4 options for one of the digits. Then 3 digits remain as possibilities for the other digit. Just multiply your options 4 * 3 to find the answer is 12 or B.
Take care,
Sionainn
Take care,
Sionainn
BA - Stanford University, MPP - Harvard University
Instructor, tutor for Princeton Review and Airbnb host
In other words a blend of Jamie Escalante from Stand and Deliver, Julie from The Love Boat, and Schneider the Super from One Day at a Time.
Curious How You'll Score? Take a FREE GMAT® practice test or sample class
Ready to Prep? Exclusive discounts for Beat The GMAT® members HERE
Instructor, tutor for Princeton Review and Airbnb host
In other words a blend of Jamie Escalante from Stand and Deliver, Julie from The Love Boat, and Schneider the Super from One Day at a Time.
Curious How You'll Score? Take a FREE GMAT® practice test or sample class
Ready to Prep? Exclusive discounts for Beat The GMAT® members HERE