Algebra> Combination...

PASSAGE :-Out of 10 childrens in a family a trip to fun republic is organized such that at a time only three childrens are included and the same group should not visit twice. Then answer the following questions:-(i) The maximum number of trips in which a particular child C 1 is present but C 10 is excluded ?(ii) The maximum number of trips that can be made to the comndition that C2 and C9 have decided to go together ?(iii) Maximum number of trpis that can be made if C1 refuses to be in the group if C2 is present

Sanchit Gupta , 13 Years ago

Grade 12

1 Answers

Jitender Singh

Last Activity: 10 Years ago

Ans:
Hello Student,
Please find answer to your question below

(i) The maximum number of trips pertaining to the condition in the question
(C₁,C₂,C₃),(C₁,C₂,C_{4).................................}=7
(C₁,C₃,C₄),(C₁,C₃,C₅)_{...........................................}= 6

So in this we have total trips
7 + 6 + 5 + 4 + 3 + 2 + 1 = 28

(ii)
This is simple. Two children always present in the gropup. So the rest go with them one by one.
Total no. of trips = 8