factorial error on calculator

Algebra Level 1

What is 100 ! 98 ! \dfrac {100!}{98!} ?

0 9900 error 2!

Caleb Albuquerque by Caleb Albuquerque , 17, United Kingdom

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2 solutions

Matin Naseri
Mar 9, 2018

100 ! = 1 × 2 × 3 × . . . . . . × 98 × 99 × 100 98 ! = 1 × 2 × 3 × . . . . . . . × 98 \frac{100!=1×2×3×......×98×99×100}{98!=1×2×3×.......×98}

100 ! = M × 99 × 100 98 ! = M = \frac{100!=M×99×100}{98!=M}= M × 99 × 100 M = 99 × 100 = 9900 \frac{M×99×100}{M}=99×100=9900

∴ \therefore the answer is 9900 \color{indogo}{\boxed{9900}}

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100 times 99 times 98/98 times 97=100 times 99

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