Using Permutation formula,
Total 720 ways are possible to stack the six boxes in order .
We have given that,
First stack contains number of boxes = 3
Second stack contains number of boxes = 2
Third stack contains number of boxes = 1
Total number of boxes = 6
Number of ways to stack 1 box = ⁶P₁ = 6!/5!
= 6 ways
Number of ways to stack 2 boxes = ⁵P₂= 5!/(5-2)!
= 5!/3! = 20 ways
Number of ways to stack 3 boxes = ⁴P₃= 4!/1!
= 4 ways
Total ways to stack 6 boxes = ⁶P₁ ×⁵P₂×⁴P₃
= 20×6× 4 = 720 ways
Hence, we can stack the 6 boxes in 720 ways .
To learn more about Permutation , refer:
https://brainly.com/question/28065038
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