EQUAL PARTY
Probability
Level
pending
HOW MANY SIX-DIGIT NUMBERS HAVE ALL THEIR DIGITS OF EQUAL PARITY i.e. ALL ARE EVEN OR ALL ARE ODD ?
The answer is 28125.
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1 solution
Number of only odd digit 6 digit numbers is 5( 1;3;5;7;9 in HTh place) x 5(TTh) x5 (Th) x5 (H) x5 (T) x5 (U)=5^6= 15625
Number of even digit only 6 digit numbers is 4 (2;4;6;8)(note not 0) x5(0;2;4;6;8) x5 x5 x5 x5 = 4x5^5=12500 12500+15625=28125