Question: Help me with proper solution which one is right with explanationnn , i have 2 doubts as mentioned pls ans accordingly justifiyithat handwritten Permutations and

Help me with proper solution which one is right with explanationnn , i have 2 doubts as mentioned pls ans accordingly justifiyithat handwritten

Permutations and combination A woman has 11 close friends find number of ways in which she can invite five of them to dinner if two particular of them are not in speaking terms and will not attend together. I have to solutions of this question please tell which of them is correct and why? Total number of people 11 Number of people she can invite-5 But two of them are not in speaking term so excluding one of them we get 10 options out of which we have to select 5 Therefore total number of possibilities will be 10^C5*2 WE HAVE MULTIPLY IT BY 2 BECAUSE there are there are two people which have to be excluded one by one. 2 solution--1105-903 WHICH IS TOTAL NUMBER OF POSSIBILITY-NUMBER OF POSSIBILITY IN WHICH THE TWO PARTICULAR PERSON COME TOGETHER
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