In a club election the number of contestants | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

Let there aer $n$ candidates

$^{n} C_{1}+^{n} C_{2}+^{n} C_{3}+\cdots+^{n} C_{n-1}=62$

$\Rightarrow 2^{\mathrm{n}}-2=62 \Rightarrow 2^{\mathrm{n

Vedclass · Accepted Answer

$6$

Vedclass · Answer

Let there aer $n$ candidates

$^{n} C_{1}+^{n} C_{2}+^{n} C_{3}+\cdots+^{n} C_{n-1}=62$

$\Rightarrow 2^{\mathrm{n}}-2=62 \Rightarrow 2^{\mathrm{n}}=64 \Rightarrow \mathrm{n}=6$

In a club election the number of contestants is one more than the number of maximum candidates for which a voter can vote. If the total number of ways in which a voter can vote be $62,$ then the number of candidates is :-

Similar Questions

Find the number of ways in which two Americans, two British, One Chinese, One Dutch and one Egyptian can sit on a round table so that person of the same nationality are separated?

The number of arrangements that can be formed from the letters $a, b, c, d, e,f$ taken $3$ at a time without repetition and each arrangement containing at least one vowel, is

What is the number of ways of choosing $4$ cards from a pack of $52$ playing cards? In how many of these

cards are of the same colour?

If $^{43}{C_{r - 6}} = {\,^{43}}{C_{3r + 1}},$ then the value of $r$ is

If $^{10}{C_r}{ = ^{10}}{C_{r + 2}}$, then $^5{C_r}$ equals