How many four-digit numbers are there between 1000 and 2800 (both numbers inclusive)?

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  1. 1802
  2. 1799
  3. 1800
  4. 1801

Answer (Detailed Solution Below)

Option 4 : 1801
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Detailed Solution

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Given:

The range of four-digit numbers is between 1000 and 2800, inclusive.

Formula Used:

Number of integers in an inclusive range [a, b] is b - a + 1.

Calculation:

The first four-digit number in the given range is 1000.

The last four-digit number in the given range is 2800.

The total number of four-digit numbers between 1000 and 2800 (inclusive) is:

⇒ 2800 - 1000 + 1

⇒ 1800 + 1

⇒ 1801

∴ There are 1801 four-digit numbers between 1000 and 2800 (both numbers inclusive).

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