Jenny is arranging 12 cans of food in a row on a shelf. She has 5 cans of beans, 1 can of carrots, and 6 cans of corn. In how many distinct orders can the cans
be arranged if two cans of the same food are considered identical (not distinct)?

5544 ways

Step-by-step explanation:

Given that:

Number of cans = 12 (n)

Number of cans of corns = 6  ()

Number of cans of carrot = 1  

Number of cans of beans = 5

The number of different arrangements is given as:

where objects are of one kind, objects are of another and so on

We have: = 5544 ways  

Hope it will find you well.