A problem by Dharma Teja

Level pending

HOW MANY FIVE DIGIT POSTIVE INTEGERS THAT ARE DIVISIBLE BY THREE CAN BE FORMED USING DIGITS 0,1,2,3,4 AND 5 WITHOUT REPETATION


The answer is 216.

Dharma Teja by Dharma Teja , 20, India

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1 solution

Brock Brown
Jan 8, 2015 
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def valid(number):
    s = str(number)
    for digit in '6789':
        if digit in s:
            return False
    for digit in '012345':
        if s.count(digit) > 1:
            return False
    return True
count = 0
for i in xrange(10000,100000):
    if valid(i):
        if i % 3 == 0:
            count += 1
print "Answer:", count

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