Question

1. find the value of ( ^{11}p_1 ).

( ^{11}p_1 = ) enter your next step here

Explanation:

Step1: Recall Permutation Formula

The formula for permutations is \( _nP_r=\frac{n!}{(n - r)!} \), where \( n = 11 \) and \( r = 1 \).

Step2: Substitute Values into Formula

Substitute \( n = 11 \) and \( r = 1 \) into the formula: \( _{11}P_1=\frac{11!}{(11 - 1)!}=\frac{11!}{10!} \).

Step3: Simplify Factorials

Since \( n!=n\times(n - 1)! \), \( 11!=11\times10! \). So, \( \frac{11!}{10!}=\frac{11\times10!}{10!}=11 \).

Answer:

\( 11 \)