Question

In an election the number of candidates is one more than the number of members to be elected. A voter can cast any number of votes but not more than the candidates to be elected. If a voter can cast his votes in 30 ways then what is the number of candidates?

P. S. this is a question is from chapter Permutations and Combination 11std JEE practice type.
Please reply ASAP thank you! ​

Answer 1

Answer:

5

Step-by-step explanation:

Number of candidates is one more than the number of members.

Let the number of candidates be n.

Shortcut Trick :

2ⁿ - 2 = 30

=> 2ⁿ = 30 + 2

=> 2ⁿ = 32

=> 2ⁿ = 2⁵

=> n  5

Therefore, the number of candidates = 5

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