Math, asked by natanidivanshi, 15 days ago

This year during the months of January and February, each day Ramu went to a fruit shop and bought exactly three varieties of fruits, such that for any two days, he bought at least one variety of fruit on one of the days that was different from what he bought on the other day. What is the minimum number of different varieties of fruits that he could have bought during that period?​

Answers

Answered by aditidhanawade2007
0

I don't aderstand questions

Answered by amitnrw
0

Given : This year (2021) during the months of January and February, each day Ramu went to a fruit shop and bought exactly three varieties of fruits, such that for any two days, he bought at least one variety of fruit on one of the days that was different from what he bought on the other day.

To Find :  the minimum number of different varieties of fruits that he could have bought during that period?​

Solution:

considering condition for 2 consecutive days

See the one of possible arrangements

ABC

ABD

ACD

BCD

ACD

ABC  

and so on  hence he can buy  minimum number  of 4  varieties  of fruits

considering any two days :

Let say n varieties are there and 3 to be selceted every day

Hence ⁿC₃   is the arrangement such that no repetition

then  ⁿC₃  ≥ 59     ( 31 (jan ) + 28  ( feb 2021) )

=> n ≥ 9   as   ⁸C₃ = 56 < 59

Hence  minimum 9  varieties

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