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Grade 11IIT JEE Entrance Exam

Explain the statement
“ Gravitation governs the motion of stars and slows the outward expansion of the entire universe because of the inward attraction of galaxies to other galaxies”

Profile image of Vineeth
11 Years agoGrade 11
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1 Answer

Profile image of Arun
6 Years ago
There is an unlimited number of identical of three rows.
 
Number of arrangement of 7 balls in a row =3 
7
 
 
Number of arrangement of 6 balls in a row =3 
6
 
 
Number of arrangement of 5 balls in a row =3 
5
 
 
Number of arrangement of 4 balls in a row =3 
4
 
 
Number of arrangement of 3 balls in a row =3 
3
 
 
Number of arrangement of 2 balls in a row =3 
2
 
 
Number of arrangement of 1 balls in a row =3
 
∴ Number of arrangement of almost 7 balls in row that can be made (n)=3+3 
2
 +3 
3
 +3 
4
 +3 
5
 +3 
6
 +3 
7
 
 
As it is in GP
 
n= 
3−1
3(3 
7
 −1)
​ 
 
 
2
3
​ 
 (2187−1)
 
2
3
​ 
 ×2186
 
=3×1093
 
n=3279