The number of six digit numbers, all digits of which are odd,

Question:

The number of six digit numbers, all digits of which are odd, is __________.

Solution:

For a six-digits number;  _ _ _ _ _ possible options of digit are 1, 3, 5, 7, 9 

Since each place has all 5 options available

∴ number of six digit numbers, all digit of which are odd is

5 × 5 × 5 × 5 × 5 × 5

= 56

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