The factorial expression 13!/7! is not divisible by which of the follo

Question

The factorial expression 13!/7! is not divisible by which of the following integers?

(A) 3
(B) 5
(C) 6
(D) 7
(E) 9

FacelessMan · Answer

13!/7! can be reduced to 13*12*11*.... 8.

We can see that out of the options provided to us, 7 is not a part of this number. Hence D.

Divyadisha · Answer

13!/7! can be written as 13*12*11*10*9*8

There is no factor of 7 in this expression. Hence D is the answer

Skywalker18 · Answer

13!/7! 
= (13*12 * 11 *10 * 9 * 8 * 7!)/7!
= 13*12 * 11 * 10 * 9*8
The given factorial expression is not divisible by 7
Answer D

Abhishek009 · Answer

13!/7! => 13 x 12 x 11 x 10 x 9 x 8 
 
(A) 3 Can divide 12 or 9
(B) 5 Can divide 10
(C) 6 Can divide 12 
 (D) 7 None of the Multiplicands present 
 (E) 9 Can divide 9 
  
Hence answer will be (D)

AbdurRakib · Answer

Factorial expression  \frac{13!}{7!} =13*12*11*10*9*8 ,which is divisible by each answer choice  except D .

So the  Correct Answer is D

ydmuley · Answer

= 13*12*11*10*9*8

As we check the answer choices we see we are not having any integer that number 7 can divide.

Hence, Answer is D

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BrentGMATPrepNow · Answer

\frac{13!}{7!} = \frac{(13)(12)(11)(10)(9)(8)(7)(6)(5)(4)(3)(2)(1)}{(7)(6)(5)(4)(3)(2)(1)}=(13)(12)(11)(10)(9)(8)

(13)(12)(11)(10)(9)(8) is divisible by 3, because (13)(12)(11)(10)(9)(8) = (13)(12)(11)(10)(  3  )( 3 )(8). Eliminate A
(13)(12)(11)(10)(9)(8) is divisible by 5, because (13)(12)(11)(10)(9)(8) = (13)(12)(11)(  5  )( 2 )(9)(8). Eliminate B
(13)(12)(11)(10)(9)(8) is divisible by 6, because (13)(12)(11)(10)(9)(8) = (13)(  7  )( 2 )(11)(10)(9)(8). Eliminate C 
(13)(12)(11)(10)(9)(8) is divisible by 6, because (13)(12)(11)(10)(9)(8) = (13)(12)(11)(10)(  9  )(8). Eliminate E

Answer: D

Cheers,
Brent

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The factorial expression 13!/7! is not divisible by which of the follo

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The factorial expression 13!/7! is not divisible by which of the follo

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