SATHEE: Permutations And Combinations Question 352

Permutations And Combinations Question 352

Question: If 12 persons are seated in a row, the number of ways of selecting 3 persons from them, so that no two of them are seated next to each other is

Options:

A) 85

B) 100

C) 120

D) 240

Show Answer

Answer:

Correct Answer: C

Solution:

[c] The number of ways of selecting 3 persons from 12 people under the given condition: = Number of ways of arranging 3 people among 12 people seated in a row, so that no two of them are consecutive = Number of ways of choosing 3 places out of the 10 [8 in between and 2 extremes] $ {{=}^{10}}C_3=\frac{10\times 9\times 8}{3\times 2\times 1}=5\times 3\times 8=120 $

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Permutations And Combinations Question 352

Question: If 12 persons are seated in a row, the number of ways of selecting 3 persons from them, so that no two of them are seated next to each other is

Options:

Answer:

Solution:

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