In an election, number of candidates exceeds the number to be elected by 2 . A man can vote in 56 ways. Then, the number of candidates is

Step-by-step solution

Let number of candidates be n . Therefore, n-2 are to be elected and so one can vote up to (n-2) . Hence, number of ways in which one can vote aligned & = ^n C₁+ ^n C₂+ + ^n C_ n-2 =56 (given) & 2^n- ( ^n C₀+ ^n C_ n-1 + ^n C_n )=56 & 2^n-n=58 2^n=58+n aligned Which is satisfied by n=6 only.