2022 NJC J2 CT P2 Q1
2022 NJC J2 CT P2 Q1
6 marks
Mid Year Exam
A group of \(18\) medical specialists is classified by nationality and gender in the table below.
| Malaysians | Indonesians | Singaporeans | |
|---|---|---|---|
| Men | \(3\) | \(4\) | \(4\) |
| Women | \(2\) | \(1\) | \(4\) |
An international organisation requested from this group to send a delegation of \(7\) medical specialists.
- How many different delegations can be formed?[1]
- Find the total number of possible delegations consisting of at least one woman.[2]
- How many different delegations can be formed with at least \(2\) medical specialists from each country?[3]
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Answer:(i) \(31\,824\) (ii) \(31\,494\) (iii) \(11\,200\)
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