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in Combinatorics and Mathematical Induction by (46.9k points)
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How many numbers are there between 1 and 1000 (both inclusive) which are divisible neither by 2 nor by 5?

1 Answer

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Best answer

From 1 to 1000, the numbers ÷ by 2 = 500 the number ÷ by 5 = 200 and the numbers ÷ by 10 = 100(5 × 2 = 10) 

So number ÷ by 2 or 5 = 500 + 200 – 100 = 600 

Total numbers from 1 to 1000 = 1000 

So the number of numbers which are ÷ neither by 2 nor by 5 = 1000 – 600 = 400 

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