A combinatorics problem by Naitik sanghavi...-2

Probability Level 3

Find the number of two digit numbers divisible by the product of its digits.


The answer is 5.

Naitik Sanghavi by naitik sanghavi , 20, India

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2 solutions

Naitik Sanghavi
Jul 27, 2015

there are 5 such two digit numbers 11 12 15 24 36

2 Helpful 0 Interesting 1 Brilliant 0 Confused

I don't really think this is a combinatorics problem; more like number theory.

Krishna Karthik - 1 year, 2 months ago
Krishna Karthik
Apr 4, 2020 
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the_list = []
for i in range(10,100):
  a = list(str(i))
  if int(a[1]) != 0:
    if i%(int(a[0])*int(a[1]))==0:
      the_list.append(i)

print(the_list)

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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