Maths Binomial Theorem & Mathematical Induction Telangana & AP CET Previous Year Question Single Correct MCQ
Published on: August 11, 2026

If the integer represented by 100 ! has consecutive zeroes at the end, then

A
24
B
36
C
64
D
128

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Text Solution

Verified by Experts
The correct answer is:
A

The number of zeroes in 10 ! depends on the number of pairs of 5 and 2 .
So, the numbers containing factors 5 is , and 100 .
Number of factors containing factor
But in contain 5 twice.
So, total number of factors
Hence, the entire product contain 10 is 24 times.

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