Pn
Mr. A has five kinds of mangoes in large amount
and has a sufficient number of identical boxes to
store the mangoes.
he can put at least 15 and at
most 20
mangoes in any box and he puts
only
one kind of
mangoes
in one box. However not more
than 6 boxes can contain the same number of
mangoesthe maximum no.of mangoes that he can put the boxes is
Answers
Answer:
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Answer: 620 Mangoes
Step-by-step explanation:
Mr. A had five kinds of mangoes.
Each box can contain minimum of 15 mangoes.
Each box can contain maximum of 20 mangoes.
this means, there can be 6 boxes with different amount of mangoes
20-15+1=6
Since he wants 6 boxes with same amount, he would have 5 boxes of each of 6 different amount.
This means he has 5*6=30 boxes
no matter which he selects, will be a repeat of one of the 6 amounts. S he just neds to select one more box to have 5 boxes with same amount.
Thus he needs to select 30+1 =31 boxes of mangoes to be certain that at least 6 boxes contain the same amount of mangoes.
hence the maximum number of mangoes in all the boxes is 31*20=620 mangoes.
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