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How many 3-digit numbers do not have an even digit or a
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30 May 2018, 01:39
30 May 2018, 01:39
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Question Stats:
91% (01:11) correct
8% (01:59) wrong based on 12 sessions
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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
Re: How many 3-digit numbers do not have an even digit or a
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31 May 2018, 07:02
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 \(5 \times 5\times 5 =125\).
gmatclubot
Re: How many 3-digit numbers do not have an even digit or a [#permalink]
31 May 2018, 07:02
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