Question

Calculate P(3, 2) Help
12
8
7
6

Answer 1

6

Hope This Helps!

P2 = 90; 10P2 = 90. Combinations. There are also two types of combinations

Answer 2

P(3, 2) = 6

Explanation:

A permutation is an ordered combination, i.e. an arrangement in a definite order of a number of objects taken some or all at a time.

Permutation formula

`P(n,r)=(n!)/((n-r)!)`

where:

• n is the number of objects to choose from.
• r is the chosen number of objects.
• 0 ≤ r ≤ n

Given P(3, 2):

• n = 3
• r = 2

So we need to calculate the permutations of two numbers taken from three numbers.

The numbers are 1, 2 and 3. As order matters, the number of ways two numbers from this set can be arranged is:

• 1 and 2
• 1 and 3
• 2 and 1
• 2 and 3
• 3 and 1
• 3 and 2

Therefore, there are 6 ways two numbers from the set of three numbers can be arranged.

To prove this, substitute n = 3 and r = 2 into the permutation formula:

`\begin{aligned}\implies P(3,2)&=(3!)/((3-2)!)\\\\&=(3!)/(1!)\\\\&=(3 * 2 * 1)/(1)\\\\&=(6)/(1)\\\\&=6 \end{aligned}`

Therefore, P(3, 2) = 6.