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
I don't aderstand questions
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
Learn More
Crack the co de numeric lock 189 147 964 523 286 - Brainly.in
brainly.in/question/16539564
If the maximum number of trials required to openall locks when there ...
brainly.in/question/11768517