Probability 1 Question 16
24. If the letters of the word ‘ASSASSIN’ are written down at random in a row, the probability that no two S’s occur together is $1 / 35$.
Analytical and Descriptive Questions
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Answer:
Correct Answer: 24. False
Solution:
- Total number of ways to arrange ‘ASSASSIN’ is $\frac{8 !}{4 ! \cdot 2 !}$.
First we fix the position $\otimes A \otimes A \otimes I \otimes N \otimes$.
Number of ways in which no two S’s occur together
$$ =\frac{4 !}{2 !} \times{ }^{5} C _4 $$
$\therefore$ Required probability $=\frac{4 ! \times 5 \times 4 ! \times 2 !}{2 ! \times 8 !}=\frac{1}{14}$
Hence, it is a false statement.
