SOLUTION: How many distinct even numbers less than 1000 can be formed by using only the numbers {0, 2, 5, 6, 9}; when repetition of a number is not allowed?

Algebra ->  Permutations -> SOLUTION: How many distinct even numbers less than 1000 can be formed by using only the numbers {0, 2, 5, 6, 9}; when repetition of a number is not allowed?       Log On


   



Question 754596: How many distinct even numbers less than 1000 can be formed by using only the numbers {0, 2, 5, 6, 9}; when repetition of a number is not allowed?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How many distinct even numbers less than 1000 can be formed by using only the numbers {0, 2, 5, 6, 9}; when repetition of a number is not allowed?
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Pattern: h..t..u
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ways to choose u: 3
ways to choose h: 4 if "0" is chosen for u; 3 if u is not zero
ways to choose t: 3
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Ans: 3*4*3 = 36 OR 3*3*3 = 27
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Cheers,
Stan H.
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