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, none of the given options (a) 1014, b) 1016, c) 1113) are correct.

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, none of the given options (a) 1014, b) 1016, c) 1113) are correct.

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, none of the given options (a) 1014, b) 1016, c) 1113) are correct.

How many different trees are possible with 10 nodes?a) 1014b) 1016c) 1113

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