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Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.How many numbers are greater than 65?

Question

Two-digit natural numbers are formed, with replacement, from the digits 0 through 9.How many numbers are greater than 65?

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Solution

To solve this problem, we need to consider the two-digit numbers that are greater than 65.

Step 1: Identify the range of numbers The two-digit numbers range from 10 to 99.

Step 2: Identify the numbers greater than 65 The numbers greater than 65 range from 66 to 99.

Step 3: Count the numbers There are 99 - 66 + 1 = 34 numbers that are greater than 65.

So, there are 34 two-digit numbers that are greater than 65.

This problem has been solved

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