Giovanna, Frances, and their dad each carried a 10 pound bag of soil. After putting soil into the first flower bed, Giovanna's b
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The number of unique ways or permuations to arrange the seven letters in MINIMUM is all the letters are used each time is 420.
According to the given question.
We have a word MINIMUM.
Here, there are 7 letters in "MINIMUM" .
Now, in Minimum the number of letters which are repeated and which are not.
M = 3 times
I = 2 times
N = 1 time
U = 1 time
As, we all know if there is no repetitions in a word which is made of n letters, then we can arrange it by n! ways.
But if there is repetition, we use formula
where, n =
is objects of one type
is the objects of two types
is the objects of k types
Thereofore, the number of unique ways or permuations to arrange the seven letters in MINIMUM is all the letters are used each time
= 7!/ 3!2!
= 7(6)(5)(4)(3!)/3!(2)(1)
= 7(3)(5)(4)
= 420
Hence, the number of unique ways or permuations to arrange the seven letters in MINIMUM is all the letters are used each time is 420.
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Answer and explanation :
Hannah said that is not on the number line but she is wrong because
can be represented on the number line
When we convert the fraction into decimal then it is equal to 0.125
And 0.125 lies between 0 and 1
If we divide one unit on number line into 10 parts then 0.125 lie between 0.1 and 0.2
And we know that any real number can be represented on number line as 0.125 is a real number so it can be represented on the number line