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Q.
Total number of four digit odd numbers that can be formed using 0, 1, 2, 3, 5, 7 are
A.
216
B.
375
C.
400
D.
720
E.
None of the above
View Answer
Correct choice: D
Explanation:
0, 1, 2, 3, 5, 7 : Six digits
The last place can be filled in by 1, 3, 5, 7. i.e.,4 ways as the number is to be odd. We have to fill in the remaining 3 places of the 4 digit number i.e.I, II, III place. Since repetition is allowed each place can be filled in 6 ways.
Hence the 3 place can be filled in 6 × 6 × 6 = 216 ways.
But in case of 0 = 216 – 36 = 180 ways.
Hence by fundamental theorem, the total number will be = 180 × 4 = 720.
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