Peter wants to wear a 3 piece outfit .In the wardrobe he has a white shirt and a blue shirt,a pair of brown trousers,a pair of black trousers and some blue jeans.He has a cashmere coat and a windcheater.How many different 3 piece outfits can he wear? Is it 3^2^3^2 =36

Shirts white and blue - 2 choices

brown, black , jeans pants - 3 choices
cashmere coat and a windheater - 2 choices

You have 2 times 3 times 2

To determine the number of different 3 piece outfits that Peter can wear, we need to consider the combinations of each clothing item.

There are three options for the first piece of clothing (shirt): white shirt, blue shirt, or no shirt (assuming Peter can go shirtless if he wants to).

For the second piece of clothing (trousers), there are three options: brown trousers, black trousers, or blue jeans.

For the third piece of clothing (outerwear), there are two options: cashmere coat or windcheater.

To calculate the total number of combinations, we multiply the number of options for each piece of clothing:

3 (options for shirts) * 3 (options for trousers) * 2 (options for outerwear) = 18

Therefore, Peter can wear 18 different 3-piece outfits, not 36.