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A newly-wed couple is using a website to design an eBook Wedding Album

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A newly-wed couple is using a website to design an eBook Wedding Album  [#permalink]

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New post 04 Mar 2015, 04:15
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91% (01:41) correct 9% (02:11) wrong based on 80 sessions

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A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 6 large photos they could use for those three slots, and 21 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?

A. 3,150
B. 4,200
C. 5,040
D. 20,520
E. 84,000


Kudos for a correct solution.

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Re: A newly-wed couple is using a website to design an eBook Wedding Album  [#permalink]

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New post 04 Mar 2015, 18:50
Bunuel wrote:
A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 6 large photos they could use for those three slots, and 21 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?

A. 3,150
B. 4,200
C. 5,040
D. 20,520
E. 84,000


Kudos for a correct solution.


Answer B, 4200 possible albums.

For the larger photo they have 6C3 options, which is 20 and for the smaller photo they have 21C19 options, which is 210. 210*20=4200.
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Re: A newly-wed couple is using a website to design an eBook Wedding Album  [#permalink]

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New post 07 Mar 2015, 09:50
1
A similar solution:

For the big album they have to choose 3 out of their 6 photos, and leave out 3:

6! / 3!3! = 20

For the small album they have to choose 19 out of their 21 photos and leave out 2:

21! / 19!2! = 210

All combinations together: 210*20 = 4200, ANS B
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Re: A newly-wed couple is using a website to design an eBook Wedding Album  [#permalink]

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New post 07 Mar 2015, 09:55
Bunuel wrote:
A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 6 large photos they could use for those three slots, and 21 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?

A. 3,150
B. 4,200
C. 5,040
D. 20,520
E. 84,000


Kudos for a correct solution.


total ways to choose 3 out of 6=6c3=20..
total ways to choose 19 out of 21=21c19=21*20/2=210..
so total ways=20*210=4200 ans B...
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Re: A newly-wed couple is using a website to design an eBook Wedding Album  [#permalink]

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New post 08 Mar 2015, 15:25
Bunuel wrote:
A newly-wed couple is using a website to design an eBook Wedding Album to distribute to their friends and families. The template they have chosen has places for 3 large photos and 19 smaller photos. The couple has 6 large photos they could use for those three slots, and 21 smaller photos they could use for those 19 slots. Given these choices, how many different possible albums could they create?

A. 3,150
B. 4,200
C. 5,040
D. 20,520
E. 84,000


Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:

For the large photos, we need 6C3, which we calculated in the article:
6C3 = 20

For the smaller photos, we need 21C19, which by symmetry must equal 21C2, and we have a formula for that. In fact, in the article above, we already calculated that 21C2 = 210.

Now, by the FCP, we just multiply these: total number of possible albums = 20*210 = 4200.

Answer = B
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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: A newly-wed couple is using a website to design an eBook Wedding Album  [#permalink]

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New post 21 May 2017, 09:26
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Re: A newly-wed couple is using a website to design an eBook Wedding Album &nbs [#permalink] 21 May 2017, 09:26
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