यदि `m=.^nC_2`, तो दिखाइए कि `.^mC_2=3.^(n+1)C_4`.

If m= "^nC_2 , prove that "^m C_2 =3xx ^(n+1)C_4 .

If m=""^nC_2 , prove that ""^nC_2=3(n+1)C_4 .

If m= ^nC_2 show that ^mC_2=3^(n+1)C_4

If m=nC_(2), show that,mC_(2)=3.(n+1)C_(4)

"^mC_1=^nC_2 , then -

If mC_1=nC_2 , then

1/2. ""^nC_0 + ""^nC_1 + 2. ""^nC_2 + 2^2. ""^nC_3 + …….+ 2^(n-1) . ""^nC_n =

1/2. ""^nC_0 + ""^nC_1 + 2. ""^nC_2 + 2^2. ""^nC_3 + …….+ 2^(n-1) . ""^nC_n =

Using binomial theorem (without using the formula for .^n C_r ) , prove that .^nC_4+^m C_2-^m C_1.^n C_2 = .^m C_4-^(m+n)C_1.^m C_3+^(m+n)C_2.^m C_2-^(m+n)C_3^m.C_1 +^(m+n)C_4dot

Using binomial theorem (without using the formula for .^n C_r ) , prove that .^nC_4+^m C_2-^m C_1.^n C_2 = .^m C_4-^(m+n)C_1.^m C_3+^(m+n)C_2.^m C_2-^(m+n)C_3^m.C_1 +^(m+n)C_4dot