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Chapter 12: Q22. (page 795)

Evaluate the expression.

P6,鈥�3

Short Answer

Expert verified

The value of the expressionP6,鈥�3 is 120.

Step by step solution

01

Step 1. Define permutation.

When the objects are arranged so that order is important and every possible order of the objects is provided, the arrangements is called a permutation.

02

Step 2. Define the meaning of Pn, r.

The number of permutations of r objects taken from the group of n objects is given by

Pn,鈥�r=n!n鈭�r!鈥夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌夆赌�............1

03

Step 3. Evaluate the expression P6, 3.

Use equation (1) to evaluate the expression P6,鈥�3.

P6,鈥�3=6!6鈭�3!=6!3!=6543!3!=6脳5脳4=120

Therefore, the value of the expressionP6,鈥�3 is 120.

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