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Decision Tracker. My Rewards. New posts. New comers' posts. Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email. Customized for You we will pick new questions that match your level based on your Timer History. Practice Pays we will pick new questions that match your level based on your Timer History. I used the special case De Polignac's formula for factorials to get tz !
I believe this is the right answer. But the thing is, this question and this solution is totally unlike everything else I've seen in the book. This chapter is about 'Counting' factorials, unique lists, etc.
I'm wondering if there is some other way to get the answer using tools I'd seen in text so far, and not this kind of weird excursion into number theory. Like some intuitive way to think through the question. To get a number ending with 0 in decimal system, we need a 5 and an even number to be multiplied. The first 0 appears in 5! It is when we get to 10! That we encounter with the next 5. And in 10! Thus 10! But 25! And that's because we have 5 getting multiplied twice in 25 and each time it can combine with an even number to get a 0.
Thus 50! Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Learn more. Ask Question. Asked 4 years, 11 months ago. Active 4 years, 11 months ago. Viewed times. For example 10!
How many multiples of 10 occur in the product 99
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