Permutations and Permutations!

Number Theory Level 1

Compute 10 ! 6 ! \dfrac{10!}{6!} .


The answer is 5040.

Daniel Feng by Daniel Feng , 18, USA

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4 solutions

Nick Dow
Jun 4, 2016

10!/6!=10x9x8x7=5040

5 Helpful 0 Interesting 0 Brilliant 0 Confused

Your thinking was easier than mine, and god job!

Daniel Feng - 5 years ago

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Thank you :)

Nick Dow - 5 years ago

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Welcome! (or w e l c o m e XD)

Daniel Feng - 5 years ago
Mohammad Khaza
Aug 4, 2017

10 ! 6 ! = 7 × 8 × 9 × 10 \frac{10!}{6!}=7 \times 8 \times 9 \times 10 = 5040 5040

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Daniel Feng
Jun 4, 2016

10! is 3628800, and 6! is 720, so 3628800/720 is 5040

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Ashish Menon
Jun 7, 2016

10 ! 6 ! = 10 × 9 × 8 × 7 = 5040 \dfrac{10!}{6!} = 10×9×8×7 = \color{#3D99F6}{\boxed{5040}}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Yes! Correct!

Daniel Feng - 5 years ago

The nice thing about this is that 5040 = 7!

Arulx Z - 4 years, 11 months ago

Yes! Great!

Daniel Feng - 4 years, 11 months ago

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