How many 5-digit odd numbers can be formed using the digits 3, 4, 5, 6, 7, 8 if:
i) Repetition of digits is not allowed?
ii) Repetition of digits is allowed?
Answer (2)
We can form a total of 72 five-digit odd numbers without repetition of digits, and 3888 five-digit odd numbers when repetition is allowed. The odd digits 3, 5, and 7 are essential for determining the last digit. Depending on whether digit repetition is allowed, the method of counting permutations varies significantly. ;
We can form 72 five-digit odd numbers without repetition of digits, and 3888 five-digit odd numbers when repetition is allowed. This revolves around the selection of odd digits for the last position and the arrangement or choice of the first four digits. The calculations show the permutations and combinations based on the conditions provided.
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