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Math Help - Number of ways of choosing.

  1. #1
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    Number of ways of choosing.

    Hello all, I have a supposedly simple probability problem that I am having trouble understanding.

    The question is: "There are 15 different apples and 10 different pears. How many ways are there for Jack to pick an apple or a pear and then for Jill to pick an apple and a pear".

    I know the answer is 15*10(14+9), but I have no idea how the answer came about.
    If anyone can explain, I will be very grateful.
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  2. #2
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    Re: Number of ways of choosing.

    Quote Originally Posted by ineedhelplz View Post
    The question is: "There are 15 different apples and 10 different pears. How many ways are there for Jack to pick an apple or a pear and then for Jill to pick an apple and a pear".
    I know the answer is 15*10(14+9).
    If Jack selects an apple in 15 ways then there are 14*10 ways for Jill to select an apple and a pear.
    If Jack selects a pear in 10 ways then there are 15*9 ways for Jill to select an apple and a pear.

    Add together and factor.
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