The digit in the unit's place of the product of 81 × 82 × 83 × ... × 89 is ---

A . 1

B. . 0

C .2

d . 3

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Solution

For finding the last digit of 818283848586878889

you need to take all last digits and multiply as there is no use in taking tens digit.

You can see 52=10,45=20, etc. So the last digit must be zero.

the last digit which will come from the multiplication of all the number.
In this case:
123456789=362880

Here the last digit is 0 so the last digit of number coming from the multiplication of all the number will be 0.

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81 \times 82 \times 83 \times . . . . . . . . . \times 89

81 \times 82 \times 83 \times 84 \dots . . 89

81 \times 82 \times 83 \times 84 \times 85 \times 86 \times 87 \times 88 \times 89

81 \times 82 \times 83 \times 84 \times 85 \times 86 \times 87 \times 88 \times 89

3,

0,

4

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