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How many 3-digit numbers do not have an even digit or a
[#permalink]
30 May 2018, 01:39

Question Stats:

How many 3-digit numbers do not have an even digit or a zero?

(A) 20

(B) 30

(C) 60

(D) 80

(E) 125

(A) 20

(B) 30

(C) 60

(D) 80

(E) 125

Retired Moderator

Joined: **07 Jun 2014 **

Posts: **4805**

WE:**Business Development (Energy and Utilities)**

Re: How many 3-digit numbers do not have an even digit or a
[#permalink]
31 May 2018, 07:02

1

Expert Reply

You can rewrite the number as acb. Where a is hundredth digit and c is the once digit.

Now we know that abc is not an even number or zero. They can be 1,3,5,7,9 i.e. 5 options.

a has 5 choices, b has 5 choices and c has 5 choices.

Number of possible solutions of abc is \(5 \times 5\times 5 =125\).

_________________

Now we know that abc is not an even number or zero. They can be 1,3,5,7,9 i.e. 5 options.

a has 5 choices, b has 5 choices and c has 5 choices.

Number of possible solutions of abc is \(5 \times 5\times 5 =125\).

_________________

Sandy

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