Permutations & Combinations
Grade 11
Question:
<p>If a number of arrangements of the letters of the word MONOTONICITY in which O’s do not appear adjacently is 9! (k), then k equals:</p>
<p style="display:inline">10</p>
<p style="display:inline">12</p>
<p style="display:inline">8</p>
<p style="display:inline">15</p>
Step-by-Step Solution
Key Concept: Use the Gap Method by arranging the nine non-O letters first and placing the identical O's into the ten available spaces to ensure no two O's are adjacent.
<p>15</p>
Correct Answer: D