Question 1194623: Find the total number of different permutations of all the letters of the word SECONDARY.
Select one:
a.
36,288
b.
362,880
c.
181,440
d.
90,720
Answer by math_tutor2020(3816)   (Show Source):
You can put this solution on YOUR website!
Each letter in the given word is unique, so we don't have any worries about repeat letters.
There are 9 letters in the word, which is the number of choices for the first slot
Then we have 9-1 = 8 choices for the next slot
Then 7 choices for the third, and so on.
Count down until reaching 1.
This countdown happens because we cannot reuse any letters already selected.
Then multiply:
9*8*7*6*5*4*3*2*1 = 362,880
The shortcut would be to say
9! = 362,880
This is factorial notation.
Many calculators have an exclamation mark button somewhere on the calculator face, or the factorial feature is buried in a submenu somewhere.
Answer: 362,880 (choice B)
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