<PRE><B>Question 1065991</B>
The 1st digit must exclude 0 or 2, so
there are 8 choices for the 1st digit
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The 2nd 2nd digit excludes the 1st digit
and 2, so there are 8 choices
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The 3rd digit excludes 1st and 2nd digits
and 2, so there are 7 choices
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There are 6 choices for the 4th digit
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There are {{{ 8*8*7*6 = 2688 }}}- dangerous numbers
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So there are no overlaps with sexy integers
count the number of dangerous integers 
that have all odd digits
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5 choices for the 1st ( dangerous integer ) digit
are odd
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4 choices for the 2nd digit are odd
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3 choices the the 3rd are odd
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2 choices for the 4th are odd
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There are {{{ 5*4*3*2 = 120 }}} dangerous numbers that are sexy
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{{{ 2688 - 120 = 2568 }}}
There are 2568 dangerous numbers that are NOT sexy
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There are {{{ 5*5*5*5 = 625 }}} sexy numbers
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There are {{{ 2568 + 625 = 3193 }}} 4 digit numbers
that are EITHER sexy or dangerous
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Definitely get a 2nd opinion on this!!!
I could easily be missing something

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