Correct Answer - Option 1 : 72
Given:
To find the value of a term, \(^{9}p_{2}\).
Concepts used:
\(^{n}p_{r}\) = n!/(n - r)!
Calculation:
Value of \(^{9}p_{2}\) = 9!/( 9 - 2)!
⇒ \(^{9}p_{2}\) = 9!/7!
⇒ \(^{9}p_{2}\) = (9 × 8 × 7!)/7!
⇒ \(^{9}p_{2}\) = 72
∴ The value of term, \(^{9}p_{2}\) is 72.
Note:- "p" stands for permutation which indicates arranging of numbers of a set in a sequence or order.
