SOLUTION: how many three-digit natural numbers greater than 330 can be formed from the digits 0,1,2,3,4,5 and 6 when each digit can be used only once?

Question 1132628: how many three-digit natural numbers greater than 330 can be formed from the digits 0,1,2,3,4,5 and 6 when each digit can be used only once?

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
how many three-digit natural numbers greater than 330 can be formed from the digits ,,,,, and 6 when each digit can be used only once?

Case 1: All those between and
Choose the first digit way (as )
That leaves unchosen digits.
Choose the second digit any ofway , ,, or
That leaves unchosen digits
Choose the third digit any of these ways.
Answer case 1: ways.
Case 2: Those greater than
Choose the first digit any of ways, ,, or
That leaves remaining unchosen digits.
Choose the second digit any of these remaining unchosen digits.
That leavesremaining unchosen digits.
Choose the third digit any of these remaining unchosen digits.
Answer to case 2: ways.
Total for both cases:

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