Question

Would the following sentence make sense in terms of the strategy? Make sure to explain in...

Would the following sentence make sense in terms of the strategy? Make sure to explain in detail and with follow-up examples if needed. For follow-up posts, leave another problem for people to determine if it would make sense to use the fundamental counting principle.

I wanted to count the number of numbers from 1-100, so I used the fundamental counting principle.

Homework Answers

Answer #1

Yes, the following sentence make sense in terms of strategy.

To count the number of numbers from one to hundred we consider the the following,

If A be a number between 0 to 99 then the one's place of A have 10 choices(0,1,...,9) and also the ten's place of A have 10 choices.

So we have 10×10 =100 numbers.

Now if we shift each number by adding 1 then we get number between 1 to 100.

Thus,

Number of numbers from 0 to 99 is 100 implies the number of numbers from one to hundred is hundred.

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