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Question
The last two digits of the numbers 3400 are 01.
Options
True
False
Solution
This statement is True.
Explanation:
Given that 3400 = (9)200 = (10 – 1)200
∴ (10 – 1)200 = 200C0(10)200 – 200C1(10)199 + ... – 200C199(10)1 + 200C200(1)200
= 10200 – 200 × 10199 + … – 10 × 200 + 1
So, it is clear that last two digits are 01.
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