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Rayheem has 16 shirts 5 pairs of jeans 3 jackets Rayheem chooses an outfit to wear - Edexcel - GCSE Maths - Question 12 - 2022 - Paper 3

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Rayheem has 16 shirts 5 pairs of jeans 3 jackets Rayheem chooses an outfit to wear. An outfit is 1 shirt, 1 pair of jeans and 1 jacket. Work out how many different... show full transcript

Worked Solution & Example Answer:Rayheem has 16 shirts 5 pairs of jeans 3 jackets Rayheem chooses an outfit to wear - Edexcel - GCSE Maths - Question 12 - 2022 - Paper 3

Step 1

Calculate the number of options for shirts

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Answer

Rayheem has 16 shirts to choose from.

Step 2

Calculate the number of options for jeans

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Answer

Rayheem has 5 pairs of jeans to choose from.

Step 3

Calculate the number of options for jackets

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Answer

Rayheem has 3 jackets to choose from.

Step 4

Calculate total combinations of outfits

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Answer

The total number of different outfits Rayheem can choose is calculated by multiplying the number of options for shirts, jeans, and jackets:

extTotalOutfits=extNumberofShirtsimesextNumberofJeansimesextNumberofJackets=16imes5imes3 ext{Total Outfits} = ext{Number of Shirts} imes ext{Number of Jeans} imes ext{Number of Jackets} = 16 imes 5 imes 3

Calculating this, we find:

extTotalOutfits=240 ext{Total Outfits} = 240

Thus, Rayheem can choose 240 different outfits.

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