It is currently 19 Oct 2017, 17:21

### 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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Perms + Combination 2

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Intern
Joined: 06 May 2012
Posts: 5

Kudos [?]: [0], given: 0

Perms + Combination 2 [#permalink]

### Show Tags

20 May 2012, 12:21
There are 5 women and 3 men in the board of XYZ company. In how many ways can a three-people committee be formed if at least 1 man must be included in the committee?
a)10
b)18
c)46
d)56
e)63

Please help me to solve this problem. Thks!!

Kudos [?]: [0], given: 0

VP
Status: Top MBA Admissions Consultant
Joined: 24 Jul 2011
Posts: 1347

Kudos [?]: 642 [0], given: 20

GMAT 1: 780 Q51 V48
GRE 1: 1540 Q800 V740
Re: Perms + Combination 2 [#permalink]

### Show Tags

20 May 2012, 18:04
Case 1: 1 man, 2 women => 3C1 x 5C2 = 30 ways
Case 2: 2 men, 1 woman => 3C2 x 5C1 = 15 ways
Case 3: 3 men, no women => 3C3 = 1 way

Total number of ways to form the committee = 30 + 15 + 1 = 46 ways

Option (C)
_________________

GyanOne | Top MBA Rankings and MBA Admissions Blog

Top MBA Admissions Consulting | Top MiM Admissions Consulting

Premium MBA Essay Review|Best MBA Interview Preparation|Exclusive GMAT coaching

Get a FREE Detailed MBA Profile Evaluation | Call us now +91 98998 31738

Kudos [?]: 642 [0], given: 20

Re: Perms + Combination 2   [#permalink] 20 May 2012, 18:04
Display posts from previous: Sort by

# Perms + Combination 2

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.