11 grade maths others
How do you evaluate ⁴P₄?
How do you evaluate ⁴P₄?
1 Answer
Askiitians Tutor Team
Approved Tutor Answer11 Months agoTo evaluate \( ⁴P₄ \), which represents the number of permutations of 4 items taken 4 at a time, you can use the permutation formula:
Permutation Formula
The general formula for permutations is:
P(n, r) = n! / (n - r)!
Where:
- n = total number of items
- r = number of items to arrange
Applying the Formula
In this case, both n and r are 4:
P(4, 4) = 4! / (4 - 4)! = 4! / 0!
Calculating Factorials
Now, calculate the factorials:
- 4! = 4 × 3 × 2 × 1 = 24
- 0! = 1 (by definition)
Final Calculation
Substituting the values back into the formula gives:
P(4, 4) = 24 / 1 = 24
Thus, the value of \( ⁴P₄ \) is 24.
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