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.

MalaysiansIndonesiansSingaporeans
Men\(3\)\(4\)\(4\)
Women\(2\)\(1\)\(4\)

An international organisation requested from this group to send a delegation of \(7\) medical specialists.

  1. How many different delegations can be formed?[1]
  2. Find the total number of possible delegations consisting of at least one woman.[2]
  3. How many different delegations can be formed with at least \(2\) medical specialists from each country?[3]

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Finding similar questions...
Answer:(i) \(31\,824\) (ii) \(31\,494\) (iii) \(11\,200\)

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