Find the number of zeroes in-11 - 22 - 33 - 44 - 55 - 1010 -

The correct option is B 5! + 10!The answer will be the number of 5's. Hence, it will be 5! + 10! ...

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Number of Zeroes in a Number

Find the numb...

Question

Find the number of zeroes in:
$1^{1!} \times 2^{2!} \times 3^{3!} \times 4^{4!} \times 5^{5!} \times \dots \dots 10^{10!}$

5! + 10!

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15!

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5! +

2 \times 10!

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Solution

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Similar questions

1^{2} \times 2^{2} \times 3^{3} \times 4^{4} \times 5^{5} \times 6^{6} \times 7^{7} \times 8^{8} \times 9^{9} \times 10^{10}

1^{1} \times 2^{2} \times 3^{3} \times 4^{4} \times 5^{5} \times 6^{6} \times \dots \times 49^{49}

The remainder obtained when $(1^{1} + 2^{2} + 3^{3} + 4^{4} + 5^{5} + \dots 10^{10})$ is divided by 4 is

1 + \frac{1}{2^{2}} + \frac{2^{2}}{3^{3}} + \frac{3^{3}}{4^{4}} + \frac{4^{4}}{5^{5}} + . . . . . .

11, 22, 33, 44, 55, 66, 77 ?

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