SOLUTION: The roundworm brain has 302 neurons each neuron is assigned a three letter name such as RMG how many are available? Only about 8,000 synapse connect pairs among the 302 neurons. W

Question 1138945: The roundworm brain has 302 neurons each neuron is assigned a three letter name such as RMG how many are available?
Only about 8,000 synapse connect pairs among the 302 neurons. What would have been the maximum possible number of synapse connecting pairs of neurons?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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(a) The roundworm brain has 302 neurons each neuron is assigned a three letter name such as RMG how many are available?

(b) Only about 8,000 synapse connect pairs among the 302 neurons. What would have been the maximum possible number
of synapse connecting pairs of neurons?
~~~~~~~~~~~~~~~~~~

(a)  The question (formulated very inaccurately in the post) is



         How many triples of the form RMG are available, consisting of 3 capital letters of the English alphabet ?



     Since the condition is silent on repeating/non-repeating of the letters, I will assume, by default, that repeating is allowed.


     Then you have 26 independent possibilities in each of 3 position, so the answer is   = 17576.




(b)  For 302 neurons, the maximum possible numbers synapse connecting pairs of neurons is   = 45451.

Answered and completed.

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