In the kingdom of underwaters, there was a game that all the nymphs liked to play. In four chests, four different coins gold,silver,copper,andbronzegold,silver,copper,andbronze were kept in the underwater fountains. One day, 123 nymphs came to play 'Guess what's in which box?' While all the 123 nymphs were done guessing, the officials opened the box to check who all got what all correct. 43 nymphs could not get anything correct, while 39 nymphs got one coin correct. 31 nymphs could guess 2 coins and their chests correctly. What's the number of nymphs who got only 3 coins correctly?
Answers
Given : In the kingdom of underwaters, there was a game that all the nymphs liked to play. In four chests, four different coins gold, silver, copper,and bronze were kept in the underwater fountains.
One day, 123 nymphs came to play 'Guess what's in which box?'
While all the 123 nymphs were done guessing, the officials opened the box to check who all got what all correct. 43 nymphs could not get anything correct, while 39 nymphs got one coin correct. 31 nymphs could guess 2 coins and their chests correctly.
To Find : the number of nymphs who got only 3 coins correctly
Solution:
gold, silver, copper and bronze 4types of coins
Total Nymph = 123
None correct = 43
One coins correct = 39
2 coins correct = 31
3 or 4 coins correct = x
43 + 39 + 31 + x = 123
=>x = 10
Hence 10 got 3 or 4 coins correct
Now if some one get 3 coins correct then automatically 4th coin will be correct as there is no chance 4th coin to be wrong
Hence only 3 correct coins are not possible
So nymphs who got only 3 coins correctly = 0
and nymphs who got all coins correctly = 10
Learn More:
What's the number of nymphs who got only 3 coins correctly?
https://brainly.in/question/38866497
Answer:
Given : In the kingdom of underwaters, there was a game that all the nymphs liked to play. In four chests, four different coins gold, silver, copper,and bronze were kept in the underwater fountains.
One day, 123 nymphs came to play 'Guess what's in which box?'
While all the 123 nymphs were done guessing, the officials opened the box to check who all got what all correct. 43 nymphs could not get anything correct, while 39 nymphs got one coin correct. 31 nymphs could guess 2 coins and their chests correctly.
To Find : the number of nymphs who got only 3 coins correctly
Solution:
gold, silver, copper and bronze 4types of coins
Total Nymph = 123
None correct = 43
One coins correct = 39
2 coins correct = 31
3 or 4 coins correct = x
43 + 39 + 31 + x = 123
=>x = 10
Hence 10 got 3 or 4 coins correct
Now if some one get 3 coins correct then automatically 4th coin will be correct as there is no chance 4th coin to be wrong
Hence only 3 correct coins are not possible
So nymphs who got only 3 coins correctly = 0
and nymphs who got all coins correctly = 10
Learn More:
What's the number of nymphs who got only 3 coins correctly?
https://brainly.in/question/38866497