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To apply for the position of photographer at a local magazine, Veronic
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AnishG
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To apply for the position of photographer at a local magazine, Veronic [#permalink] New post  06 Jul 2016, 05:13
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To apply for the position of photographer at a local magazine, Veronica needs to include three or four of her pictures in an envelope accompanying her application. If she has pre-selected five photos representative of her work, how many choices does she have to provide the photos for the magazine?

(A) 5
(B) 10
(C) 12
(D) 15
(E) 50
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Kurtosis
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Re: To apply for the position of photographer at a local magazine, Veronic [#permalink] New post  06 Jul 2016, 08:00
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Veronica can choose 3 photos in 5C3 = 10 ways
She can choose 4 photos in 5C4 = 5 ways

Total number of ways = 10 + 5 = 15

Answer: D
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joelbr
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Re: To apply for the position of photographer at a local magazine, Veronic [#permalink] New post  10 Jul 2016, 13:28
Select 3 photos from 5 OR select 4 photos from 5: 5C3 OR 5C4 = 5*4 + 5 = 15 (D)
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BrentGMATPrepNow
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Re: To apply for the position of photographer at a local magazine, Veronic [#permalink] New post  15 Nov 2017, 11:26
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AnishG wrote:
To apply for the position of photographer at a local magazine, Veronica needs to include three or four of her pictures in an envelope accompanying her application. If she has pre-selected five photos representative of her work, how many choices does she have to provide the photos for the magazine?

(A) 5
(B) 10
(C) 12
(D) 15
(E) 50


Since the order in which we select the pictures does not matter, we can use combinations.

We must consider two possible cases:
1) Veronica includes 3 of her pictures
We can select 3 pictures from 5 pictures in 5C3 ways
5C3 = 10

2) Veronica includes 4 of her pictures
We can select 4 pictures from 5 pictures in 5C4 ways
5C4 = 5

ASIDE: Below, there's a video that shows you how to quickly calculate combinations (like 5C3) in your head

Total number of possibilities = 10 + 5
= 15
= D

Cheers,
Brent

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Re: To apply for the position of photographer at a local magazine, Veronic [#permalink] New post  17 Oct 2019, 19:39
Expert Reply
AnishG wrote:
To apply for the position of photographer at a local magazine, Veronica needs to include three or four of her pictures in an envelope accompanying her application. If she has pre-selected five photos representative of her work, how many choices does she have to provide the photos for the magazine?

(A) 5
(B) 10
(C) 12
(D) 15
(E) 50


The number of ways to select the photographs is:

5C3 + 5C4

(5 x 4 x 3)/(3 x 2) + 5

10 + 5 = 15

Answer: D
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