SOLUTION: A student has purchased food to last him 2 weeks 4 tins of beans 3 tins of peas 5 tins of tuna 2 tins of sardines Can many different ways can the food be ordered if he ope

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Question 937817: A student has purchased food to last him 2 weeks
4 tins of beans
3 tins of peas
5 tins of tuna
2 tins of sardines
Can many different ways can the food be ordered if he opens one can each day.
Is it 14!
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
it is not 14.

if you assume each can is different, then the number of possible different arrangements is equal to 14! which is equal to 87,178,291,200.

if you assume each can of each type is the same, then the number of possible different arrangements is equal to 14! / (4! * 3! * 5! * 2!) which is equal to 2,522,520.