SATHEE: Permutations And Combinations Question 117

Permutations And Combinations Question 117

Question: In an election there are 8 candidates, out of which 5 are to be choosen. If a voter may vote for any number of candidates but not greater than the number to be choosen, then in how many ways can a voter vote

Options:

A) 216

B) 114

C) 218

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Required number of ways $ {{=}^{8}}C_1{{+}^{8}}C_2{{+}^{8}}C_3{{+}^{8}}C_4{{+}^{8}}C_5 $ $ =8+28+56+70+56=218 $ {Since voter may vote to one, two, three, four or all candidates}.

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Permutations And Combinations Question 117

Question: In an election there are 8 candidates, out of which 5 are to be choosen. If a voter may vote for any number of candidates but not greater than the number to be choosen, then in how many ways can a voter vote

Options:

Answer:

Solution:

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