GCEFurther MathematicsPermutations and Combinations2024

Find the value of $^{10}P_3$.

A120
B360
C720CORRECT
D1000
AI
Toaster Teacher
Why the answer is C, and why the others tempt you.
$^{10}P_3 = \frac{10!}{(10-3)!} = \frac{10!}{7!} = 10 \times 9 \times 8 = 720$. This is a straightforward application of the permutation formula.
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