How do you evaluate ^3P_1? (2024)

FAQs

How to solve 3P1? ›

3P1=3! (3−1)! =3!

5P2 means a permutation of 5 things taken 2 at a time. Start with the first number (which in this case is 5), and count down for a total of 2 numbers: 5P2 = 5*4 = 20.

As an example, 3p1 means fretting the third fret with say your ring finger and picking that note, while having your index finger already fretting the note on fret one, then pulling off your middle finger to let fret one ring. And trills are a combination of both.

There is a way you can calculate permutations using a formula. This formula is: P(n,r) = n! ÷ (n-r)! The generalized expression of the formula is, "How many ways can you arrange 'r' from a set of 'n' if the order matters?"

The number of permutations would be 3P3 = 3! / (3-3)! = 3! / 0! = 3! / 1 = 6 because there are 6 different ways to arrange the three letters in a specific order.

Expert-Verified Answer

nPk = n!/(n-k)! 10P3 = 10!/(10-3)! = 10!/7!

Expert-Verified Answer

We will use the formula on getting the permutation of n objects taken at r at time. nPr = n! / (n-r)! 10P4 = 10! / (10-4)! 10P4 = 10x9x8x7x6! / 6!

We know that the sum of two numbers is the result obtained by adding two numbers. Thus, if {x1,x2,…,xn} { x 1 , x 2 , … , x n } is a sequence, then the sum of its terms is denoted using the symbol Σ (sigma). i.e., the sum of the above sequence = ∑ni=1xi=x1+x2+…. xn.