11 grade maths others
What is ^6{P_3}?
What is ^6{P_3}?
1 Answer
Askiitians Tutor Team
The notation {^n}P_r represents the number of permutations of selecting and arranging "r" elements from a set of "n" distinct elements without repetition.
To calculate {^6}P_3, we have 6 distinct elements from which we want to select and arrange 3 elements without repetition. The formula for calculating permutations is:
{^n}P_r = \frac{n!}{(n-r)!}
Using this formula, we can calculate {^6}P_3 as follows:
{^6}P_3 = \frac{6!}{(6-3)!} = \frac{6!}{3!} = \frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1} = 6 \times 5 \times 4 = 120
Therefore, {^6}P_3 is equal to 120.
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