Factorials - Simplify (10! - 9!) / 8!
Question:
Simplify (10! - 9!) / 8!
Solution:
(10! - 9!) / 8!
= [(10 x 9 x 8!) - (9 x 8!)] / 8!
= [8! (10 x 9) - (9)] / 8!
= [8! (90 - 9)] / 8!
= [8! (81)] / 8!
= [ ̶8̶!̶ (81)] / ̶8̶!̶
= 81
Answer:
(10! - 9!) / 8! = 81
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