It is currently 23 Feb 2018, 22:13

### 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

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

# If 1 male, 2 females, and 1 child are to be randomly selected from 8 m

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4908
GPA: 3.82
If 1 male, 2 females, and 1 child are to be randomly selected from 8 m [#permalink]

### Show Tags

13 Feb 2017, 00:00
1
KUDOS
Expert's post
00:00

Difficulty:

15% (low)

Question Stats:

91% (00:55) correct 9% (02:32) wrong based on 33 sessions

### HideShow timer Statistics

If 1 male, 2 females, and 1 child are to be randomly selected from 8 males, 10 females, and 8 children, how many such cases are possible?

A. 980
B. 1,440
C. 1,880
D. 2,480
E. 2,880
[Reveal] Spoiler: OA

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Manager
Joined: 17 May 2015
Posts: 210
Re: If 1 male, 2 females, and 1 child are to be randomly selected from 8 m [#permalink]

### Show Tags

13 Feb 2017, 00:38
MathRevolution wrote:
If 1 male, 2 females, and 1 child are to be randomly selected from 8 males, 10 females, and 8 children, how many such cases are possible?

A. 980
B. 1,440
C. 1,880
D. 2,480
E. 2,880

Hi,

Few Important points:

AND => Multiplication

When Order is not important => Apply Combination formula

When Order is important => Apply Permutation formula.

If 1 male, 2 females, and 1 child are to be randomly selected from 8 males, 10 females, and 8 children, how many such cases are possible?

In the above problem order is not important, so we'll use Combination formula.

We have to select

1 male from 8 males, AND 2 females from 10 females, AND 1 child from 8 children.

= $$^{8}C_1 \times ^{10}C_{2} \times ^{8}C_{1} = 8 \times 45 \times 8 = 2880$$

Thanks.
GMAT Forum Moderator
Joined: 27 May 2014
Posts: 432
GMAT 1: 730 Q49 V41
Re: If 1 male, 2 females, and 1 child are to be randomly selected from 8 m [#permalink]

### Show Tags

13 Feb 2017, 01:16
1 male can be chosen from 8 males in 8 ways;

1 child can be chosen from 8 children in 8 ways;

2 females can chosen from 10 females:

1. 1st female can be chosen in 10 ways; There are 9 females remaining;
2. so, 2nd female can be chosen in 9 ways;
Now the order does not matter;
so, total possible selection for 2 females (10*9)/2! = 45;

Therefore, total possible cases = 8*8*45 = 2880; Answer E.
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4908
GPA: 3.82
Re: If 1 male, 2 females, and 1 child are to be randomly selected from 8 m [#permalink]

### Show Tags

15 Feb 2017, 00:08
==> You get 8C1*10C2*8C1=(8)(45)(8)=2,880.

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Re: If 1 male, 2 females, and 1 child are to be randomly selected from 8 m   [#permalink] 15 Feb 2017, 00:08
Display posts from previous: Sort by