How many 3 letter words (meaningful or meaningless) can be formed using letters from the word INTELLECTUAL? A) 336 B) 3

Target Test Prep 20% Off Flash Sale is on! Code: FLASH20

Redeem

5-Day Free Trial

5-day free, full-access trial TTP

Available with Beat the GMAT members only code

MORE DETAILS

Magoosh

Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

MORE DETAILS

This topic has expert replies

Post new topic Post Reply

Previous Topic Next Topic

GMATinsight: Legendary Member; Posts: 1100; Joined: Sat May 10, 2014 11:34 pm; Location: New Delhi, India; Thanked: 205 times; Followed by:24 members

How many 3 letter words (meaningful or meaningless) can be formed using letters from the word INTELLECTUAL? A) 336 B) 3

by GMATinsight » Fri Jul 24, 2020 4:46 am

Timer

00:00

Your Answer

Global Stats

How many 3 letter words (meaningful or meaningless) can be formed using letters from the word INTELLECTUAL?

A) 336
B) 370
C) 399
D) 400
E) None of these

Source: www.GMATinsight.com

Subscribe to my YouTube Channel for FREE resource

Subscribe Topic-wise UN-bundled Video course. CHECK FREE Sample Videos

Last edited by GMATinsight on Fri Jul 24, 2020 4:48 am, edited 1 time in total.

"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour

Quote

GMATinsight: Legendary Member; Posts: 1100; Joined: Sat May 10, 2014 11:34 pm; Location: New Delhi, India; Thanked: 205 times; Followed by:24 members

Re: How many 3 letter words (meaningful or meaningless) can be formed using letters from the word INTELLECTUAL? A) 336

by GMATinsight » Fri Jul 24, 2020 4:47 am

GMATinsight wrote:How many 3 letter words (meaningful or meaningless) can be formed using letters from the word INTELLECTUAL?

A) 336
B) 370
C) 399
D) 400
E) None of these

[textarea]www.GMATinsight.com[/textarea]

Frequency of letters
I - 1
N - 1
T - 2
E - 2
L - 3
C - 1
U - 1
A - 1

3 letter words

Case 1: All letters identical (LLL)
1 ways

Case 2: Two letters identical and third different (LLA)
3*7*3 = 63 ways

Case 3: All letters distinct (INT)
8C3*3! = 56*6 = 336 ways

Total = 1+63+336 = 400

Answer: Option D

Subscribe to my YouTube Channel for FREE resource More than 1000 free videos

Subscribe Topic-wise UN-bundled Video course. CHECK FREE Sample Videos

Quote

Post new topic Post Reply

• Page 1 of 1

5/5

5 Star (473 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review