reasoning
Maths Puzzle
if 1!+2!+3!.....+50!is divided by 5!.what should be the remainder.
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- In
1!+2!+3!.....+50!
all terms after 5! will have zero remainder when divided by 5!.
sum of 1!+2!+3!+4! = 33
when 33 is divided by 5! , we get 33 as remainder.
so 33 is remainder . - 12 years agoHelpfull: Yes(8) No(1)
- 33
all terms after 5facorial are divisible by 5 factorial .therefore remainder is
1+2+6+24 =33 - 12 years agoHelpfull: Yes(4) No(0)
- Lets first find the Sum of factorial,
=1!+2!+3!+.....+50!
=[1.1!+2.2!+3.3!+....+50.50!]/25*51
=[(2-1).1!+(3-1).2!+(4-1).3!+......+(51-1).50!]/(25*51)
=[2!-1!+3!-2!+4!-3!+..............._51!-50!}/(25*51)
=[51!-1]/(25*51)
=3.04*10^64
if we divide S by 5!, remainder=4 - 12 years agoHelpfull: Yes(0) No(7)
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