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

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Re: The factorial expression 13!/7! is not divisible by which of the follo [#permalink]
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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
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Re: The factorial expression 13!/7! is not divisible by which of the follo [#permalink]
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Bunuel wrote:
The factorial expression 13!/7! is not divisible by which of the following integers?

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

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

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The factorial expression 13!/7! is not divisible by which of the follo [#permalink]
Bunuel wrote:
The factorial expression 13!/7! is not divisible by which of the following integers?

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

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
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Re: The factorial expression 13!/7! is not divisible by which of the follo [#permalink]
= 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.

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Re: The factorial expression 13!/7! is not divisible by which of the follo [#permalink]
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Bunuel wrote:
The factorial expression 13!/7! is not divisible by which of the following integers?

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

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

(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

Cheers,
Brent
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Re: The factorial expression 13!/7! is not divisible by which of the follo [#permalink]
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Re: The factorial expression 13!/7! is not divisible by which of the follo [#permalink]
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