<p>A group of $10$ people, comprising $5$ males and $5$ females, are arranged in a row to hold a long banner for a photo shoot. Find the number of possible arrangements such that</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">at least two females are standing together.</span></div><p style="text-align: right;">[3]</p></li><li><div class="list-item-content"><span class="list-item-text">exactly two of the five females stand next to each other.</span></div><p style="text-align: right;">[2]</p></li></ol>
<p>The $10$ people now proceed to split themselves into groups to head to their dinner venue via cabs.</p>
<ol class="i-list" start="3"><li><div class="list-item-content"><span class="list-item-text">Find the number of ways in which the $10$ people can be split into two groups of $3$ each and one group of $4$.</span></div><p style="text-align: right;">[2]</p></li></ol>
<p>At the dinner venue, the $10$ people are directed to a round table with $12$ chairs.</p>
<ol class="i-list" start="4"><li><div class="list-item-content"><span class="list-item-text">Find the number of ways to seat the $10$ people at the table.</span></div><p style="text-align: right;">[2]</p></li></ol>

A group of $10$ people, comprising $5$ males and $5$ females, are arranged in a row to hold a long banner for a photo shoot. Find the number of possible arrangements such that

at least two females are standing together.

exactly two of the five females stand next to each other.

The $10$ people now proceed to split themselves into groups to head to their dinner venue via cabs.

Find the number of ways in which the $10$ people can be split into two groups of $3$ each and one group of $4$.

At the dinner venue, the $10$ people are directed to a round table with $12$ chairs.

Find the number of ways to seat the $10$ people at the table.

Permutation and Combination - General

Permutation and Combination

H2 Math

International Baccalaureate Higher Level Mathematics

2021 DHS J2 MYE Q3 [Modified]

2021 DHS J2 MYE Q3 [Modified]

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