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

Algebra.Com
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)   (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.


RELATED QUESTIONS

A supermarket sells tuna in 90 g and 200 g tins. In one day, 112 tins of tuna were sold,... (answered by josgarithmetic)
If there is 1 tin of blue for every 4 tins of red what is the ratio of the red tins to... (answered by stanbon)
A coffee shop blends it's own coffee and sells it in one kilogram tins. One blend... (answered by Fombitz)
A cook uses fifteen 2-kg bottles of cooking-oil over a 4-week period. If he decides to... (answered by jerryguo41)
Two woman, Ivy and Doris went to a retail shop and bought some items. Ivy bought 3 dozens (answered by josgarithmetic)
if there is one tin of blue paint for every four tins of red.What is the ratio of red... (answered by checkley79)
suppose a circular fish pond has to be sealed on the inside. the diameter of the pond is... (answered by addingup)
Suppose a circular fish pond has to be sealed on the inside. The diameter of the pond is... (answered by Boreal)
Mary went shopping and bought 3 times as many tins of beans as jars of jam. A tin of... (answered by ankor@dixie-net.com)