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Thepotemich [5.8K]
3 years ago
8

How many permutations are there of the letters in the word 'PLANTS', if all the letters are used without repetition?

Mathematics
1 answer:
adoni [48]3 years ago
3 0

Answer:

6!

or

6*5*4*3*2*1

or

720

Step-by-step explanation:

The word 'PLANTS' contains no letter more than once.

It is say 6 letter word.

_  _  _ _ _ _

There are 6 ways to choose the first blank (after than there are 5 letters left to choose from)

After the first blank, there are 5 letter left to choose from so there are 5 ways to choose the second blank.

Then 4 ways for the third blank.

3 ways for the fourth blank.

2 ways for the fifth blank.

1 way for the sixth blank.

Now to figure out the number of permutations you must multiply the number of different ways we have above for each blank.

That is we are doing 6*5*4*3*2*1 or 6!

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The triangles shown below must be congruent.
Ber [7]

Answer:

False

Step-by-step explanation:

The triangles are similar because the angles are the same

We know nothing about the side lengths, so we can say nothing about concurrency.  They may or may not be congruent.  

4 0
3 years ago
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The difference between the set of non-negative real numbers and the set of positive real numbers is:
Inessa05 [86]

Answer:

C; A singleton set

Step-by-step explanation:

Mathematically, when a number is non-negative; it is either positive or zero

Now, this is because 0 identifies as neither a positive or a negative number

hence, when we find the difference between the two sets, the only number that stands out unmatched is the value 0

What this mean is that we are having a set with a single number result

So we have our answer as {0}

Which is a singleton set

4 0
3 years ago
Which of the following is an example of a proper fraction?<br> A.7/6<br> B.3/4<br> C.4/4<br> D.4/3
statuscvo [17]

Answer: B

Step-by-step explanation:

A proper fraction is when a fraction has the numeration less than the denominator

3 0
3 years ago
Jose is selling peanuts at the carnival. The original bag he purchased weighs 6 3/4 lbs. If the bags he plans on selling will we
Aleks04 [339]

Answer:

13 bags

Step-by-step explanation:

1: If he has 6 3/4 lbs to start with, this is 6.75 lbs, as 3/4 = 0.75.

2: He wants the new bags to be 1/2 lb, which is 0.5 lbs.

3: If we divide 6.75 by 0.5, we get the exact number of bags he could have - 13.5.

4: However, the bags must be full, so we have to disregard that extra 0.5 bags, and say he can completely fill 13 bags.

Hope this helps! Let me know if you have any questions :)

5 0
3 years ago
at a basketball game a vendor sold a combined total of 116 sodas and hotdogs. The number of hotdogs sold were 36 less than the n
algol [13]

Answer:  76 Sodas and 40 hot dogs

Step-by-step explanation:

Let S and H represent the numbers of Sodas and Hot dogs.

We are told that:

S + H = 116

We also see that:

H = S - 36

==

Take the second equation's value for H (S - 36) and use it in the first:

S + H = 116

S + (S-36) = 116

2S = 152

S = 76

and therefore H = S - 36, or 40.

76 + 40 = 116  [Checks]

76 Sodas and 40 hot dogs

4 0
2 years ago
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