SOLUTION: 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

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)

RELATED QUESTIONS
In a professional division of a Hockey league, there are 9 total teams. How many... (answered by ikleyn)

Find the number n of distinct permutations that can be formed from all the letters of... (answered by math_helper)

Find the number of permutations of all the letters in the word... (answered by MathLover1)

Calculate the total number of different permutations of all letters A, B, C, D, E, F when (answered by ikleyn)

Determine the number of permutations of the letters of the word "SELECTION." Show... (answered by stanbon)

The number of permutations of all the letters of the word 'Mississippi'... (answered by Kenadieh20)

find the number of distinct permutations that can be formed from all the letters in the... (answered by stanbon)

Find the number of distinguishable permutations of the letters of the word... (answered by Theo)

Find the number of distinguishable permutations of the letters of the word... (answered by greenestamps,ikleyn)