If M is the product of all integers from 1 to 50 which a factor 2^n...then the maximum value of n is
?????

Question

If M is the product of all integers from 1 to 50 which a factor 2^n...then the maximum value of n is
?????

anonymous · Answer

is it 47

anonymous · Answer

use greatest integer function for all  and then add [50/2] +[50/4]+[50/8]+[50/16]+[50/32]=25+12+6+3+1

anonymous · Answer

@shubhamsrg  going thorugh NEST2010

anonymous · Answer

yeah xactly!
u toooo givin nest!
?

anonymous · Answer

no dear...

anonymous · Answer

so u do u knw?

anonymous · Answer

xams are near thats why asked

anonymous · Answer

good 
lust/love for maths is mportant for these kind of xams 
best of luck....

shubhamsrg · Answer

well,,
1*2*3*4...50 = 1*2*3*(2*2)*....25*(13*2)*27*(14*2)*29*(15*2)....49*(25*2)
=(1*2*3*4...25)^2* (2^25 )..solving the inner bracket,,you get 2^12 outside..doing again,,you get 2^6 outside..you finally get what @matricked  said!!

anonymous · Answer

no not like that
u get the abv rules in most of the text books

shubhamsrg · Answer

this was just another method,,am sure there must be many such,..