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Helen [10]
3 years ago
5

How many distinguishable permutations of the letters in DECEMBER are possible?

Mathematics
2 answers:
Lyrx [107]3 years ago
7 0
5 percent off the floor in the morning and
Genrish500 [490]3 years ago
7 0

#1

avatar+17746

+10

This can be calculated by using a fraction:

Count the number of letters in the word (in this case, 9) and create the numerator by the factorial of that number.

Since there are 9 letters in the word COMMITTEE, the numerator is  9!

Count the number of times each different letter is used and create the numerator by multiplying together the factorials of those numbers.  OK, that description may be clear as mud, so here's an example:

For COMMITTEE, the C is used once:  1!, the O is used once: 1!, the M is used twice: 2!, the I is used once: 1!, the T is used twice: 2!, and the E is used twice: 2!.

Putting these together, the denominator is  1!·1!·2!·1!·2!·2!  

So the answer is:  9! / [ 1!·1!·2!·1!·2!·2!  ]  =  45360

(A couple things about the denominator:  you really don't need to write down all the 1!, because their values are 1, but if you do, the sum of the numbers used in the denominator is equal to the number of letters in the word.)

Another example:  MISSISSIPPI  =  11! / [ 1!·4!·4!·2! ]


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While shopping for gifts, Asha bought 4 candles and 2 picture frames for $20, Jacob bought 6 candles and 1 picture frame for $18
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B

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4 0
2 years ago
NEEED HELPPP !!!!!!!!!!
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X + 7 + 2x + 19 = 35

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3 0
3 years ago
Lee wants to collect 22 of a certain type of action figure. He had 11 of the figures, then got 3 more for his birthday. What dec
Shalnov [3]

To solve this problem, we must first find the fraction of action figures that Lee has gotten so far.  To do this, we will represent the number of action figures that Lee currently has in the numerator divided by the denominator, the total number of action figures that Lee is attempting to collect.

First, we must recognize that Lee currently has 11 action figures plus the 3 that he got for his birthday.  To find the total number of action figures that Lee has, we must add together these two parts.  

11+3 = 14

Therefore, Lee has 14 action figures (this will become the numerator of the fraction).  The denominator of the fraction is the total number of action figures, which we are given is 22.

Thus, our fraction is 14/22.

To convert this into a decimal, we can simply divide the numerator of the fraction by the denominator of the fraction, which gives us:

14/22 = 0.636363636

Therefore, your answer is approximately 0.636.

Hope this helps!

6 0
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