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The function f(x) represents the number of ways that prime numbers can

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The function f(x) represents the number of ways that prime numbers can  [#permalink]

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New post 04 Dec 2019, 01:01
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Question Stats:

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The function f(x) represents the number of ways that prime numbers can be uniquely summed to form a certain number x such that x = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)?

A. 4
B. 5
C. 6
D. 7
E. 8


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The function f(x) represents the number of ways that prime numbers can  [#permalink]

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New post Updated on: 04 Dec 2019, 02:03
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Bunuel wrote:
The function f(x) represents the number of ways that prime numbers can be uniquely summed to form a certain number x such that x = a + b + c + d… where those summed variables are each prime and a ≤ b ≤ c ≤ d ... For instance f(8) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. What is f(12)?

A. 4
B. 5
C. 6
D. 7
E. 8


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Explanation:
F(12)=
2+2+2+2+2+2------1
2+2+2+3+3-----2
2+2+3+5----3
2+3+7-----4
3+3+3+3-----5
5+7-----6
2+5+5-----7 (Corrected)

Total = 7
F(12)=7

IMO-D

:please Please Give Kudos, If you find my explanation Good Enough :please

Originally posted by rajatchopra1994 on 04 Dec 2019, 01:12.
Last edited by rajatchopra1994 on 04 Dec 2019, 02:03, edited 1 time in total.
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Re: The function f(x) represents the number of ways that prime numbers can  [#permalink]

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New post 04 Dec 2019, 01:55
One more 5+5+2 , total 7

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Re: The function f(x) represents the number of ways that prime numbers can   [#permalink] 04 Dec 2019, 01:55
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