Answer:
a) 1152
b) 576
Explanation:
You want to know the number of ways 1 of each worker can be chosen from 3 labourers, 12 joiners, 8 electricians, and 4 plumbers. You also want to know that number if 1 labourer and 3 joiners are on holiday.
a) Choices
The number of ways that the 4 workers can be chosen is the product of the number of possibilities for each type:
3 × 12 × 8 × 4 = 1152
The company can choose 4 workers 1152 different ways.
b) Holiday
When the possibilities are reduced by absences, the new number is ...
(3 -1) × (12 -3) × 8 × 4 = 2 × 9 × 8 × 4 = 576
The company can choose 4 workers 576 different ways.
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