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
Answer:
5 is the answer
mark it please
Given :-
- Total nymphs came to play = 123 .
- 43 nymphs could not get anything correct .
- 39 nymphs got one coin correct .
- 31 nymphs could guess 2 coins and their chests correctly .
To Find :-
- What's the number of nymphs who got only 3 coins correctly ?
Answer :-
we have,
→ Total nymphs = 123
→ Nymphs who got no correct = 43 .
so,
→ Nymphs left = 123 - 43 = 80 .
now, out of these 80,
→ Nymphs who got one correct = 39.
then,
→ Left nymphs = 80 - 39 = 41
now, out of these 41,
→ Nymphs who got 2 correct = 31
then,
→ Nymphs left = 41 - 31 = 10 nymphs .
conclusion :-
- Nymphs who got 3 and all correct are total 10 .
- Nymphs who got only 3 correct value is depend on the nymphs who got all correct .
- Nymphs who got only three correct => 0 ≤ N ≤ 10 .
possible case :-
- Nymphs who got 3 correct = 10/2 = 5 .
- In this case , if three of the coins got correctly identified, fourth one is automatically correct.
- Then, Nymphs who got all correct also 5 .
Hence, we can conclude that, the number of nymphs who got only 3 coins correctly are 5 .
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