2022 NYJC J2 CT P2 Q6
Timothy Gan
2022 NYJC J2 CT P2 Q6
Each of nine cards is marked with the digits $1$ to $9$ such that each card carries a different digit. Find the number of ways of arranging the nine cards in a row if
(i)
no two consecutive cards are even digits,
[3]
(ii)
the digits on the cards are neither in ascending nor descending order.
[2]
Four cards are drawn and placed side by side to form four-digit numbers
(iii)
Find how many four-digit odd numbers greater than $3000$ can be formed.
[3]
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