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  • The remainder obtained when 1!+2!+......50! is divided by 30 is

The remainder obtained when 1!+2!+......50! is divided by 30 is

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5! = 5 imes 4 imes 3 imes 2 imes 1\=120

Since 120 is divisible by 30, the remainder in this case will be zero (0). Beyond 5, factorials of all the numbers will be divisible by 30 and will give remainder zero.

So, the remainder when the given expression is divided by 30 is calculated as:

1!=1\2!=2 imes 1=2\3!=3 imes 2 imes 1=6\4!=4 imes 3 imes 2 imes 1=24

frac1!+2!+3!+4!30\=frac1+2+6+2430\=frac3330

Remainder obtained on dividing 33 by 30 is 3.

Posted by

Deependra Verma

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