document.write( "Question 718179: Number of ways in which 8 students can be divided into 2 teams , that need not necessarily be of equal size.
\n" ); document.write( "Ans 127\r
\n" ); document.write( "\n" ); document.write( "My method
\n" ); document.write( "As 8 student is divided into 2 teams
\n" ); document.write( "Team A==============Team B
\n" ); document.write( "1 =============== 7 students===== 8C1*7C7 - equation(1)
\n" ); document.write( "2 =============== 6 students ===== 8C2 -(2)
\n" ); document.write( "3 =============== 5 students ===== 8C3 -(3)
\n" ); document.write( "4 =============== 4 students ===== 8C4 -(4)
\n" ); document.write( "5 =============== 3 students ===== 8C5 -(5)
\n" ); document.write( "6 =============== 2 students ===== 8C6 -(6)
\n" ); document.write( "7 =============== 1 student ===== 8C7 -(7)\r
\n" ); document.write( "\n" ); document.write( "Therefore no. of ways = (1)+(2)+(3)+(4)+(5)+(6)+(7)=252
\n" ); document.write( "But actual answer is the half of this answer.Can you tell me where I go wrong?
\n" ); document.write( "

Algebra.Com's Answer #440801 by oscargut(2103)\"\" \"About 
You can put this solution on YOUR website!
Team A\r
\n" ); document.write( "\n" ); document.write( "1 student: C(8,1) = 8
\n" ); document.write( "2 students: C(8,2) = 28
\n" ); document.write( "3 students: C(8,3) = 56
\n" ); document.write( "4 students: C(8,4) = 70
\n" ); document.write( "5 student: C(8,5) = 56
\n" ); document.write( "6 students: C(8,6) = 28
\n" ); document.write( "7 students: C(8,7) = 8\r
\n" ); document.write( "\n" ); document.write( "Answer: 254\r
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