In a school there are 16 teachers and 220 students - Edexcel - GCSE Maths - Question 14 - 2021 - Paper 2
Question 14
In a school there are 16 teachers and 220 students.
Of these students 120 are girls and 100 are boys.
One teacher, one girl and one boy are going to be chosen to re... show full transcript
Worked Solution & Example Answer:In a school there are 16 teachers and 220 students - Edexcel - GCSE Maths - Question 14 - 2021 - Paper 2
Step 1
Work out the number of ways to choose one teacher
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Answer
There are 16 teachers available. Therefore, the number of ways to choose one teacher is 16.
Step 2
Work out the number of ways to choose one girl
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Answer
There are 120 girls available. Therefore, the number of ways to choose one girl is 120.
Step 3
Work out the number of ways to choose one boy
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Answer
There are 100 boys available. Therefore, the number of ways to choose one boy is 100.
Step 4
Calculate the total number of combinations
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Answer
The total number of ways to choose one teacher, one girl, and one boy is calculated by multiplying the number of choices together:
16×120×100=192000
Thus, there are 192,000 different ways to make this selection.
