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Question
Mathematics
Find the number of zeroes at the end of 300 !.
Q. Find the number of zeroes at the end of
300
!
.
315
183
Permutations and Combinations
Report Error
Answer:
74.00
Solution:
E
2
=
(
300
!)
=
[
2
300
]
+
[
2
2
300
]
+
[
2
3
300
]
+
[
2
4
300
]
+
[
2
5
300
]
+
[
2
6
300
]
+
[
2
7
300
]
+
[
2
8
300
]
+
…
E
2
(
300
!)
=
150
+
75
+
37
+
18
+
9
+
4
+
2
+
1
=
296
E
5
(
300
!)
=
[
5
300
]
+
[
5
2
300
]
+
[
5
3
300
]
+
……
..
=
60
+
12
+
2
=
74
No. of zeroes
=
74