Question

If the letters of the word $"ATTEMPT"$ are written down at random. The probability that all the $T^{\prime }s$ come together is

• A. $1/21$
• B. $6/7$
• C. $1/7$
• D. $1/42$

Answer 1

The correct option is C $1/7$

Number of ways of arranging the words keeping all $T^{\prime }s$ together is $5!$

Number of ways of arranging the words is $\frac{7!}{3!}$

Probability that all the $T^{\prime }s$ together is $\frac{5!}{\frac{7!}{3!}}=\frac{1}{7}$