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10! + 9! can be rewritten as:
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Bunuel
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10! + 9! can be rewritten as: [#permalink] New post  25 Apr 2017, 01:16
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10! + 9! can be rewritten as:

A. 9!(10)
B. 11!/10
C. (10!)^2*9
D. (9!)^2 + 10
E. 19!
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BrentGMATPrepNow
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Re: 10! + 9! can be rewritten as: [#permalink] New post  07 Mar 2018, 09:16
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Bunuel wrote:
10! + 9! can be rewritten as:

A. 9!(10)
B. 11!/10
C. (10!)^2*9
D. (9!)^2 + 10
E. 19!


First recognize that 10! = (10)(9!)
Here's why:
10! = (10)(9)(8)(7)(6)(5)(4)(3)(2)(1)
= (10)(9!)

So....
10! + 9! = (10)(9!) + 9!
= 9!(10 + 1) [I factored out the 9!]
= 9!(11)
Check the answer choice.....9!(11) isn't there! So, we'll need to check each answer choice to see which one can be expressed as (9!)(11)



A. 9!(10)
We can clearly see that this is not equal to (9!)(11)
ELIMINATE A


B. 11!/10
11!/10 = (11)(10)(9)(8)(7)(6)(5)(4)(3)(2)(1)/(10)
= (11)(9)(8)(7)(6)(5)(4)(3)(2)(1)
= (11)(9!) PERFECT!!
= B

Cheers,
Brent
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sandeepb17
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Re: 10! + 9! can be rewritten as: [#permalink] New post  25 Apr 2017, 01:27
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10! + 9!
= (10*9!)+ 9!
=9! (10+1)
=9!(11)
=(9!*11*10)/10
=11!/10

Hence B

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JeffTargetTestPrep
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Re: 10! + 9! can be rewritten as: [#permalink] New post  12 Mar 2018, 09:55
Expert Reply
Bunuel wrote:
10! + 9! can be rewritten as:

A. 9!(10)
B. 11!/10
C. (10!)^2*9
D. (9!)^2 + 10
E. 19!


10! + 9! = 10 x 9! + 9! = 9!(10 + 1) = 9!(11) = 11!/10

Answer: B
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Re: 10! + 9! can be rewritten as: [#permalink] New post  13 Apr 2021, 22:25
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Re: 10! + 9! can be rewritten as: [#permalink]
13 Apr 2021, 22:25
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