To calculate the number of different trees possible with 10 nodes, we can use the formula for the number of labeled trees, which is given by Cayley's formula. According to Cayley's formula, the number of labeled trees with n nodes is equal to n^(n-2).

In this case, we have 10 nodes, so the number of different trees possible is 10^(10-2) = 10^8 = 100,000,000.

Therefore, the correct answer is d) None of the above, as none of the given options match the calculated number of different trees.

Question

To calculate the number of different trees possible with 10 nodes, we can use the formula for the number of labeled trees, which is given by Cayley's formula. According to Cayley's formula, the number of labeled trees with n nodes is equal to n^(n-2).

In this case, we have 10 nodes, so the number of different trees possible is 10^(10-2) = 10^8 = 100,000,000.

Therefore, the correct answer is d) None of the above, as none of the given options match the calculated number of different trees.

Knowee AI · Accepted Answer

To calculate the number of different trees possible with 10 nodes, we can use the formula for the number of labeled trees, which is given by Cayley's formula. According to Cayley's formula, the number of labeled trees with n nodes is equal to n^(n-2).

In this case, we have 10 nodes, so the number of different trees possible is 10^(10-2) = 10^8 = 100,000,000.

Therefore, the correct answer is d) None of the above, as none of the given options match the calculated number of different trees.

How many different trees are possible with 10 nodes?a) 1014b) 1016c) 1113d) None of the above.

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How many different trees are possible with 10 nodes?

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