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Number Theory Level 1

Divide 99 ! 99! from 100 ! 100!

98 99 101 100

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Bryan Lee Shi Yang by Bryan Lee Shi Yang , 17, Malaysia

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3 solutions

Munem Shahriar
Jun 17, 2017

100 ! 99 ! \dfrac{100!}{99!}

= = 100 × 99 ! 99 ! \dfrac{100 \times 99!}{99!}

= = 100 100

2 Helpful 0 Interesting 0 Brilliant 0 Confused

We have the same solution.

A Former Brilliant Member - 3 years, 10 months ago

100 ! 99 ! = 99 ! × 100 99 ! = \dfrac{100!}{99!}=\dfrac{99! \times 100}{99!} = 100 \color{#D61F06}\large \boxed{100}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

I think it is better to say divide 100 ! 100! by 99 ! 99! .

A Former Brilliant Member - 3 years, 10 months ago
Josh Banister
Mar 30, 2015

100 ! 99 ! = 100 × 99 ! 99 ! = 100 \frac{100!}{99!} = \frac{100 \times 99!}{99!} = \boxed{100}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

We have the same solution.

A Former Brilliant Member - 3 years, 10 months ago

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