The value of ₇P₇ or P(7, 7) is 5040 after using the permutation formula option (D) 5040 is correct.
What are permutation and combination?
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
= ₇P₇
Here P represents the permutation:
We can calculate the value of ₇P₇ using the formula:
P(n, r) = n!/(n - r)!
n = 7
r = 7
Plug the above values in the formula:
₇P₇= P(7, 7) = 7!/(7 - 7)!
₇P₇ = 7!/(0)!
₇P₇ = 7!
₇P₇ = 7×6×5×4×3×2×1
The above represents a mathematical operation, Now multiply all the numbers.
₇P₇ = 5040
Thus, the value of ₇P₇ or P(7, 7) is 5040 after using the permutation formula option (D) 5040 is correct.
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