2024 EJC Permutation And Combination Tutorial Tutorial Q7
A six digit number is to be formed from the digits $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$ and $9$. For each of the following cases, find how many different ways the six-digit number can be formed.
(i)
The even and odd digits of the number must alternate and any digit may appear more than once.
(ii)
The number must be odd and is less than $600\,000$ and no digit may appear more than once.
(iii)
The number is formed using only four different digits, eg. $621313$, $255567$.
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