Find the sum `"^(12)C_0` + `"^(12)C_2 `+ `"^(12)C_4`+…..+`"^(12)C_(12)`

Evaluate the following : ""^12C_0+""^12C_2+""^12C_4 +""^12C_12 .

Evaluate the following : ""^12C_0+""^12C_1+""^12C_2+ ....... +""^12C_12 .

Find the values of (1)/(12!) + (1)/(10! 2!) + (1)/(8!4!) + …+ (1)/(12!)

Determine n if "^(2n)C_3 : "^nC_3 =12:1

Find the H.C.F off : 9 and 12

If "^(2n)C_3 : ^nC_2= 12: 1 , find n .

Find the H.C.F. of : 12,18 and 30.

If |{:(.^(9)C_(4),.^(9)C_(5),.^(10)C_(r)),(.^(10)C_(6 ),.^(10)C_(7),.^(11)C_(r+2)),(.^(11)C_(8),.^(11)C_(9),.^(12)C_(r+4)):}|=0 , then the value of r is equal to

The Q value of a nuclear reaction A + b rarr C + d is defined by Q = [ m_A + m_b -m_C- m_d]c^2 where the masses refer to the respective nuclei. Determine from the given data the Q-value of the following reaction and state whether the reaction is exothermic or endothermic. "_6^12C + "_6^12C rarr "_10^20Ne + "_2^4He Atomic masses are given to be m( "_6^12C ) = 12.000000 u m( "_10^20Ne ) = 19.992439 u