follow up question. The "monstrous" fleecemane has a +1/+1 counter on it. Would Nethroi also have the +1/+1 counter if it's mutated on top of the fleecemane?
Note that the "mutated" permanent has indestructible not only because it's monstrous, but also because—
it has "As long as Fleecemane Lion is monstrous, it has hexproof and indestructible" (in this scenario especially, see C.R. 201.4), and
in general, a "mutated" permanent that includes Fleecemane Lion as a component has Fleecemane Lion's usual abilities, no matter which position Fleecemane Lion occupies on that permanent (C.R. 702.139e).
Having indestructible (or hexproof) is not inherent to being monstrous, which merely "act(s) as a marker that ... spells and abilities can identify. ... Once a permanent becomes monstrous, it stays monstrous until it leaves the battlefield" (C.R. 701.31b).
follow up question. The "monstrous" fleecemane has a +1/+1 counter on it. Would Nethroi also have the +1/+1 counter if it's mutated on top of the fleecemane?
Yes. Merging with a permanent doesn't remove any counters on that permanent (review C.R. 702.139, 721).
1. Would the resulting creature on top also be indestructible?
2. With Nethroi mutate ability, I put back into play a Regal Caracal, two Pride Sovereign, and 3 Adorned Pouncer = total 10 power. Is this correct?
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2) Correct. None of those cards' abilities are taken into account when choosing targets for Nethroi's ability.
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Having indestructible (or hexproof) is not inherent to being monstrous, which merely "act(s) as a marker that ... spells and abilities can identify. ... Once a permanent becomes monstrous, it stays monstrous until it leaves the battlefield" (C.R. 701.31b).
For Fleecemane Lion and being monstrous, see also your previous question.
that clears up things.
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