Question

In how many ways can 3 oaks, 4 pines, and 2 maples be arranged along a property line if one does not distinguish among trees of the same kind?

Answer 1

If arranging in a straight line, the number of possibilities would be the factor of the three variables.
3 oaks x 4 pines x 2 maples = 24 possible arrangements

Hope that helps.

Answer 2

Total number of ways to arrange the given trees is equals to 24ways.

What is combination?

" Combination is defined as total number of ways arrangement made without considering the order."

Formula used

Fundamental principle of counting

First group has 'm' objects

second group has 'n' objects

Total number of ways objects can be arranged  =m × n

According to the question,

Number of oak trees = 3

Number of pines tree = 4

Number of maples trees = 2

Substitute the given values in the formula we get,

Total number of ways to arrange the given trees = 3 × 4 × 2

                                                                                  = 24ways

Hence, total number of ways to arrange the given trees is equals to 24ways.

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