Which of the following is not true of the symbol $\left(\begin{array}{c}11 \ 3\end{array}\right)$ ?
A) It is used when order does not matter.
B) Its value is less than $11 P_{3}$.
C) It is the number of 3 letter words that can be formed from 11 letters.
D) It is the number of 3 person committees that can be formed from a group of 11 people.

Question

Quizplus · Accepted Answer

- A) is true because the symbol represents a combination, which is used in situations where order does not matter.- B) is true because combinations are generally less than permutations for the same values since permutations consider order, making them larger.- D) is true because this is a classic example of when combinations are used: selecting a subset (like a committee) from a larger set without regard to the order of selection.- C) is not true because the symbol represents combinations, not permutations, and the formation of words would consider the order, making permutations the correct approach, not combinations.

Which of the Following Is Not True of the Symbol (113)\left(\begin{array}{c}11 \\ 3\end{array}\right)(113​)

Which of the Following Is Not True of the Symbol $\left(\begin{array}{c}11 \\ 3\end{array}\right)$