Expand the right side:


Notice that 98 = 2 * 7 * 7, so we have
and
.
Then

and

Answer:
99.66%
Step-by-step explanation:
Ranking is very critical in this problem. Therefore, the most applicable mathematical theory is permutations.
Ranking possible for the cellists:
Needed cellists = 5
Total available cellists = 10
Possible number of rankings = 10P5 = 10!/(10-5)! = 30240
Ranking possible for the violinists:
Needed violinists = 5
Total available = 16
Possible number of rankings = 16P5 = 16!/(16-5)! = 524160
Therefore,
Ratio of rankings (cellists to violinists) = 30240/524160 = 3/52
Depends on what time their bedtime is, like if their bedtime is at 6:00, and they have to wake up at 5:00 then their waking hours would be 11 hours.