Thinking Makes us Strong 2

Logic Level 2

You have 8 ! 8! books now you give 6 ! 6! from those books to your best friend then another moment you realize that you have to buy 5 ! 5! books. then suddenly you saw your uncle who bought some gifts for you. he gave you 6 6 books.because of that you forget to buy 5 ! 5! books. So how many books now do you have?


Check also: Thinking Makes us Strong


The answer is 39606.

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1 solution

Munem Shahriar
Sep 14, 2017

We know that,

8 ! = 1 × 2 × 3 × 4 × × 8 = 40320 8! =1 \times 2 \times 3 \times 4 \times \ldots \times 8 = 40320

6 ! = 1 × 2 × 3 × × 6 = 720 6! = 1 \times 2 \times 3 \times \ldots \times 6 = 720

5 ! = 1 × 2 × × 5 = 120 5! = 1 \times 2 \times \ldots \times 5 = 120

Now,

  • You have 40320 books.

40320 books \huge \color{#D61F06} 40320 ~ \text{books}

  • You give 720 books to your friend.

40320 720 = 39600 books \huge \color{#3D99F6}40320 - 720 = \color{#20A900}39600 ~ \text{books}

  • You obtained 6 books from your uncle.

39600 + 6 = 39606 books \huge \color{#EC7300} 39600 + 6 = \color{#3D99F6} \boxed{39606 ~ \text{books}}

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