Discussion
A selection is to be made for one post of principal and two posts of vice-principal amongst the six candidates called for the interview only two are eligible for the post of principal while they all are eligible for the post of vice-principal. The number of possible combinations of selectees is
Answer: D
Choose the principal first, since that post is the restricted one.
\[ \text{principal} = 2 \text{ ways} \]
The two vice-principals then come from the remaining five candidates:
\[ {}^{5}C_{2} = 10 \]
\[ 2 \times 10 = 20 \]
20 is not among the choices, so the answer is none of these. The two vice-presidencies are interchangeable, which is why a combination is used for them and not a permutation.
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