edited by
2,113 views
7 votes
7 votes

A basket of fruit is being arranged out of apples, bananas, and oranges. What is the smallest number of pieces of fruit that should be put in the basket in order to guarantee that either there are at least $8$ apples or at least $6$ bananas or at least $9$ oranges?

  1. $9$
  2. $10$
  3. $20$
  4. $21$
edited by

2 Answers

Best answer
9 votes
9 votes

First, put 7 apples, 5 bananas, and 8 oranges, now put one more fruit to fulfill the mentioned condition either orange or banana or apple. Note that condition is given with OR.

Answer is $(7 + 5 + 8) +1 = 21$

Correct Answer: $D$

edited by
4 votes
4 votes

D) 21

In order to "guarantee" , we have to consider the worst case scenario which we obtain like this :

O A B

O A B

O A B

O A B

O A B

O A A

O O B

thus giving a total of 21 possibilities

Answer:

Related questions

14 votes
14 votes
2 answers
3