Question

In supervised digital image classification, the number of combinations to be evaluated to select three best bands out of five bands is \rule{1.5cm{0.15mm} (Answer in integer).}

Hint:

Use the combination formula \(\binom{n}{r} = \frac{n!}{r!(n-r)!}\) to calculate how many ways you can choose \(r\) items from \(n\) items.

Answer 1

Correct Answer: 10

We are asked to find the number of combinations of selecting 3 bands out of 5. This is a standard combination problem: \[ ^nC_r = \binom{5}{3} = \frac{5!}{3!(5-3)!} = \frac{5 \times 4 \times 3!}{3! \times 2!} = \frac{20}{2} = 10 \] Final Answer: \fbox{10}