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If there's no one to form pair then u have to

Box number 6 me jo X hai wo helper ke tarah kaam karti hai Box number 4,5,7 ke jo 0's hai wo already cover ho chuke hai quad me Is wajah se unhe kisi ke help ki jarurat nahi hai Is wajah se humne box 6 ke X ki help nahi li That's why A+B' nahi hoga I think this can help u, If still not , let me know

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Maine by mistake A'D' likha hai but usko correct kar lijiyega waha A'D hoga

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Because the zero in 12th position would come in two pairs(brown and green), and we only need it to be in one pair

Sir i got the reson what i understood that for creating a group you need atleast one 0 which does not participate in any group

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The purpose of using K-Map is to minimise the names that are given using the alphabets(A,B,C,D) to the inputs say 1 in this above question. We can't leave any input. For minimising them we make groups,which we call Octect(Set of 8) Quad(Set of 4) Pair(Set of 2) One thing you must have noticed after solving the question that larger is the group is shotter is the name. Let's say if you get Octect(Set of 8) ➤ You can name it using only "one" alphabet (say : A or B etc.) Quad(Set of 4) ➤ You need atleast "two" alphabets to name it (say : AB or AB' etc.) Pair(Set of 2) ➤ You need atleast "three" alphabets to name it (say : ABC or AB'C' or A'BC' etc.) Atlast if you don't get any of the above mentioned you need to consider it as a set of "one" element if ant element is left alone Because question is asking to minimise the name not to remove or leave any element's name. And you need minimum "four" alphabets for naming it (say : ABCD or A'BC'D etc.) You can observe as the size of the set id decreasing the need of the alphabet for naming is increasing. Our purpose id to reduce it, so we will search for larger group(Octect>Quad>Pair>Singlet) because larger is the group shorter is the name and more we can minimise it. Atlast if we don't get any group which is greater than or equal to 2 we will not leave it you will name it considering it as a set of 1. Note : Don't make a set of any random number like group of 5 or group of 7 etc. ➤ Grouping is always done 2⁰=1 2¹=2 2²=4 2³=8 ...and so on..... I have tried my level best to explain through text , If your doubt is not clear let me know in the comment section I will provide you my linkedin id you can contact me their I will make alternative approach to resolve your doubt.