document.write( "Question 1138945: The roundworm brain has 302 neurons each neuron is assigned a three letter name such as RMG how many are available?
\n" ); document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #756748 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "(a) The roundworm brain has 302 neurons each neuron is assigned a three letter name such as RMG how many are available?\r
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\n" ); document.write( "\n" ); document.write( "(b) Only about 8,000 synapse connect pairs among the 302 neurons. What would have been the maximum possible number
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document.write( "(a)  The question (formulated very inaccurately in the post) is\r\n" );
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document.write( "         How many triples of the form RMG are available, consisting of 3 capital letters of the English alphabet ?\r\n" );
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document.write( "     Since the condition is silent on repeating/non-repeating of the letters, I will assume, by default, that repeating is allowed.\r\n" );
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document.write( "     Then you have 26 independent possibilities in each of 3 position, so the answer is   = 17576.\r\n" );
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document.write( "(b)  For 302 neurons, the maximum possible numbers synapse connecting pairs of neurons is   = 45451.\r\n" );
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