Hi strawberrycupcake,
Your first calculation (4!) is the total number of ways to ARRANGE ALL 4 ingredients (meaning that all 4 are used). However, that is not what the question asks us for - it's asking for the number of combinations of AT LEAST 2 of the ingredients.
Besides using 'brute force' to just list out all of the possibilities, you could use the Combination Formula 3 times and then add up the individual results:
4c2 + 4c3 + 4c4 = 6 + 4 + 1 = 11
GMAT assassins aren't born, they're made,
Rich
...
Your first calculation (4!) is the total number of ways to ARRANGE ALL 4 ingredients (meaning that all 4 are used). However, that is not what the question asks us for - it's asking for the number of combinations of AT LEAST 2 of the ingredients.
Besides using 'brute force' to just list out all of the possibilities, you could use the Combination Formula 3 times and then add up the individual results:
4c2 + 4c3 + 4c4 = 6 + 4 + 1 = 11
GMAT assassins aren't born, they're made,
Rich
...








