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please ans this question

please ans this question

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Grade:12

1 Answers

Nicho priyatham
625 Points
6 years ago
here [X]=step function of X
power of 2 in 100!=[100/2]+[100/22]+[100/23]+....................
we get 50+25+12+6+3+1=97 
similarly power of 3 in 100!=[100/3]+[100/32]+[100/33]+.....................
we get 33+11+3+1=48 
now power of 5 in 100!=[100/5]+[100/52]+[100/53]+..........
we get 20+4+0=24
power of seven in 100!=[100/7]+[100/72]+......
we get 14+2=16
 

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