In an election the number of candidates is one more than the number of members to be elected . A votocr can cast any numbers to be elected. If a voter can cast his vote in 254 ways, then the number.
A. 7
B. 10
C. 8
D. 6

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1 Answers

Correct Answer - 3
Let there be n candition . Then,
`.^(n)C_(1) + .^(n)C _(2) +......+ .^(n)C_(n-1) = 254`
`rArr2^(n) - 2 = 254`
`rArr 2^(n) = 2^(8)`
`rArr n= 8`

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