Answer:
a. 120
b. 360
c. 720
d. 720
Step-by-step explanation:
To find out the number of ways you can arrange the letters (also called permutations), we need to use the factorial formula (!). The exclamation mark means multiply the number before the exclamation mark by every number before it.
the word MOBILE has 6 letters
formula
nPr = n! / (n–r)!
nPr = permutations
n = total number of objects
r = number of objects selected
a.) 6! / (6–3)! =
6! / 3! =
(6×5×4×3×2×1)/(3×2×1) =
6×5×4 = 120
b.) 6! / (6–4)! =
6! / 2! =
(6×5×4×3×2×1)/(2×1) =
6×5×4×3 = 360
c.) 6! / (6–5)! =
6! / 1! =
(6×5×4×3×2×1)/1 =
6×5×4×3×2 = 720
d) 6! = 6×5×4×3×2×1 = 720
For more detailed explanation visit my youtubechannel "SolvingMath with Leonalyn" or search "Leonalyn Permutation"
