Solve $^{5} C_{2}$

Answer

10

Step-by-step solution

Step 1 · Combination formula
$^{n} C_{r} = \frac{n !}{r ! ( n - r )!}$
Order does not matter, so use combinations rather than permutations.
Step 2 · Substitute n = 5, r = 2
$\frac{120}{2 \cdot 6} = 10$
Ten distinct unordered pairs exist.

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