A group of candidates for two analyst positions consists of six people. If one-third of the candidates are disqualified and three new candidates are recruited to replace them, the number of ways in which the two job offers can be allocated will:  Choose the correct choice.
A) Drop by 40% B) Remain unchanged C) Increase by 20% D) Increase by 40% E) Increase by 60%
Initially 6 people for 2 positions, meaning   6 - 1st position   5 - 2nd position   Total combinations- 5*6 = 30   Now 1/3rd not qualified, so reduce by 2. Hence, now we have 4+3 candidates for the position.   Same as above, 7*6 for two positions will give 42 combinations. Thus, 42-30/30 = 40% increase;   ANSWER:Increase by 40%
<result>D</result>
A group of candidates for two analyst positions consists of six people. If one-third of the candidates are disqualified and three new candidates are recruited to replace them, the number of ways in which the two job offers can be allocated will: