1. How many ways can the letters in the word LINEAR be arranged?
a. 360
b. 720
c. 120
d. 240
is the answer a?
nevermind i know the answer is b.
To find the number of ways the letters in the word "LINEAR" can be arranged, we can use the formula for permutations.
The formula for permutations is given by:
P(n, r) = n! / (n - r)!
In this case, we have 6 letters in the word "LINEAR", so n = 6. And we want to arrange all 6 letters, so r = 6.
Plugging the values into the formula:
P(6, 6) = 6! / (6 - 6)!
= 6! / 0!
= 6! / 1
= 6!
The factorial of 6 (!6) is calculated as:
6! = 6 * 5 * 4 * 3 * 2 * 1
= 720
So the number of ways the letters in the word "LINEAR" can be arranged is 720.
Therefore, the correct answer is b. 720.