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10.If 100 ! = 100 x 99 x 98 x … x 2 x 1, the maximum power
of 20 which will divide 100 ! is
1] 21 2] 22 3] 23 4] 24
Plz Explain

Answer Posted / vigneswari vennila sathesh suj

calculate the no of 5's..(highest factor of 20)
100 --> 2
95--> 1
90 --> 1
85 --> 1
80 --> 1
75 --> 3
70 --> 1
65 -->1
60 -->1
55 --> 1
50 --> 2
45 -->1
40 -->1
35-->1
30-->1
25-->2
20-->1
15-->1
10-->1
5-->1
totally 24 5's...

Is This Answer Correct ?    8 Yes 1 No



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