Answer:
108
Step-by-step explanation:
A three digit number is formed from the digits 1, 2, 3, 4, 5, and 6. How many of these will be between 200 and 500?
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Wikrom Thamchareonkit
Answered 3 years ago
Let's talk about the numbers digit by digit.
The rule here stated that the numbers must be between 200 and 500. This means that we can only have the number 2, 3, and 4 for the hundredth digit. Otherwise it would break the rule of the question.
Now you will know that the numbers are either 2__, 3__, or 4__. To find the rest of the digits, you can write all the possible ways down (you can also use “ncr” method, but this way is simpler to understand)
unit digits: __1, __2, __3, __4, __5, __6
tenth digits : _1_, _2_, _3_, _4_, _5_, _6_
So there are 6 possible ways for the unit digits, and 6 possible ways for the tenth digits. From this, we can multiply 6 by 6 by 3 because there are 6 options for unit digits, 6 options for tenth digits, and 3 options for the hundredth digits
6x6x3 = 108
All the possible ways for this question would be 108.
