In an election the number of candidates is 1 | vedclass

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Question

(c) Let there are $n$ candidates then

$^n{C_1}{ + ^n}{C_2} + ......{ + ^n}{C_{n - 1}} = 254$

$ \Rightarrow $ ${2^n} - 2 = 254$

$ \Rightarrow

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(c) Let there are $n$ candidates then

$^n{C_1}{ + ^n}{C_2} + ......{ + ^n}{C_{n - 1}} = 254$

$ \Rightarrow $ ${2^n} - 2 = 254$

$ \Rightarrow $ ${2^n} = {2^8}$

.$ \Rightarrow $ $n = 8$.

In an election the number of candidates is $1$ greater than the persons to be elected. If a voter can vote in $254$ ways, then the number of candidates is

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