Home Maths Permutations & Combination Telangana & AP CET Previous Year Question A natural number such that ! ends in exact…
Maths Permutations & Combination Telangana & AP CET Previous Year Question Single Correct MCQ
Published on: August 13, 2026

A natural number such that ! ends in exactly 1000 zeros is

A
4010
B
4000
C
4009
D
4004

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Text Solution

Verified by Experts
The correct answer is:
C

Number of zeros in ends of any number = Highest power of 10 (i.e. highest power of 5 in it) as and 2 will be in more power than 5 hence power of 10 will be equal to power of 5 .
Number ! will have highest power of 5 which can be calculated as

where [ ] : greatest integer function.
checking for

For

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