<p>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</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">no two consecutive cards are even digits,</span></div><p style="text-align: right;">[3]</p></li><li><div class="list-item-content"><span class="list-item-text">the digits on the cards are neither in ascending nor descending order.</span></div><p style="text-align: right;">[2]</p></li></ol>
<p>Four cards are drawn and placed side by side to form four-digit numbers</p>
<ol class="i-list" start="3"><li><div class="list-item-content"><span class="list-item-text">Find how many four-digit odd numbers greater than $3000$ can be formed.</span></div><p style="text-align: right;">[3]</p></li></ol>

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

no two consecutive cards are even digits,

the digits on the cards are neither in ascending nor descending order.

Four cards are drawn and placed side by side to form four-digit numbers

Find how many four-digit odd numbers greater than $3000$ can be formed.

2022 NYJC J2 CT P2 Q6

2022 NYJC J2 CT P2 Q6

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