Simplify the expression 6P3.
A. 30
B. 120
C. 360
D. 720
Is the answer B?
Thank you
yes it is
Thank you
To simplify the expression 6P3, we use the permutation formula:
nPr = n! / (n - r)!
In this case, n = 6 and r = 3.
So, 6P3 = 6! / (6 - 3)!
= 6! / 3!
Since 6! = 6 * 5 * 4 * 3 * 2 * 1 = 720
and 3! = 3 * 2 * 1 = 6,
Now we can substitute these values into the equation:
6P3 = 720 / 6
= 120
Therefore, the simplified expression 6P3 is equal to 120. Hence, the answer is B.
To simplify the expression 6P3, we need to use the formula for permutations:
nPr = n! / (n - r)!
In this case, n is 6 and r is 3. So we have:
6P3 = 6! / (6 - 3)!
= 6! / 3!
= (6 x 5 x 4 x 3 x 2 x 1) / (3 x 2 x 1)
= 720 / 6
= 120
Therefore, the answer is B.