First consider that the shopping items are ranked in price from 1 (lowest) to 6 (highest). So a combination could be 351426, with the 3rd most expensive item in the Mailbox, and so on until the highest priced item (6) is in the Attic. When selected, the 'Mailbox' and 'Attic' are single items, while the two middle 'Floors' are two items each. The total possible combinations of choices are therefore:
* Mailbox: 6 possibilities
* 1st Floor: 10 possibilities (in math, this is: 5 Items, Choose 2)
* 2nd Floor: 3 possibilities (3 Items, Choose 2)
* Attic: 1 possibility
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| - First consider that the shopping items are ranked in price from 1 (lowest) to 6 (highest). So a combination could be 351426, with the 3rd most expensive item in the Mailbox, and so on until the highest priced item (6) is in the Attic. When selected, the 'Mailbox' and 'Attic' are single items, while the two middle 'Floors' are two items each. The total possible combinations of choices are therefore:
* Mailbox: 6 possibilities
* 1st Floor: 10 possibilities (in math, this is: 5 Items, Choose 2)
* 2nd Floor: 3 possibilities (3 Items, Choose 2)
* Attic: 1 possibility
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| - First consider that the shopping items are ranked in price from 1 (lowest) to 6 (highest). So a combination could be 351426, with the 3rd most expensive item in the Mailbox, and so on until the highest priced item (6) is in the Attic. When selected, the 'Mailbox' and 'Attic' are single items, while the two middle 'Floors' are two items each. The total possible combinations of choices are therefore:
* Mailbox: 6 possibilities
* 1st Floor: 10 possibilities (in math, this is: 5 Items, Choose 2)
* 2nd Floor: 3 possibilities (3 Items, Choose 2)
* Attic: 1 possibility So 6 x 10 x 3 x 1 = 180 total combinations. Since the only way to win is to put the highest priced item in the Attic, this must be selected first; which changes the odds:
* Mailbox: 5 possibilities (because the Attic has already been chosen)
* 1st Floor: 6 possibilities (4 Items, Choose 2)
* 2nd Floor: 1 possibility (2 Items, Choose 2)
* Attic: 1 possibility So 5 x 6 x 1 x 1 = 30 total combinations. The 30 possible combinations that could win are:
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