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djverab [1.8K]
1 year ago
14

consider the word unusual. how many unique subsets of 5 letters (of the 7) exist? how many different strings could be made from

5 of those 7 letters?
Mathematics
1 answer:
lesantik [10]1 year ago
8 0

The total number of unique subset of 5 letter words possible are 840 and the total number of different strings that could be made 5040.

The word 'unusual' contains a total of 7 letters.

A subset of 5 letters from the seven letters of the word unusual can be found out by making the combinations of all the five letter words possible from the seven letters.

As we can see that there are total of 7 letters among which u is repeated three times. Number of the possible combinations for the subset of 5 letter word are,

= 7×6×5×4

= 840.

So, there are 840 subset possible.

The total number of Strings that are possible is,

= 7×6×5×4×3×2×1

= 5040.

So, the total number of Strings possible are 5040.

To know more about combinations, visit,

brainly.com/question/28065038

#SPJ4

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What is 3b-16=50? Please figure out what B is, thanks.
Marat540 [252]

Answer:

b = 22

Step-by-step explanation:

3b-16=50

3b = 66

b = 22

3 0
3 years ago
Read 2 more answers
Given h(x) = x2 – 5x + 7, find the following.<br> a. h(2)<br> b.h(-5)<br> c. h(-8)
azamat

Answer:

Step-by-step explanation:

hello :

h(x) = x² – 5x + 7

h(-2) = (-2)² – 5(-2) + 7 =4+10+7 =21

h(-5) = (-5)² – 5(-5) + 7= 25+25+7 =57

h(-8) = (-8)² – 5(-8) + 7 = 64+40+7=111

5 0
2 years ago
Amber, Bernie, and Carlos are working on a problem together. Their goal is to correctly apply the difference of cubes formula to
NeX [460]

Answer: Carlos is correct

Step-by-step explanation:

2x^5-250x^2

The first step is to factorize out 2x^2

2x^2(x^3-125)

This can be rewritten as

2x^2(x^3-5^3),

Recall, difference if cube (a^3-b^3)

= (a-b)(a^2 +ab + b^2)

from our equation,

a= x

b = 5.

So the difference of cubes will be

2x^2[(x-5) (x^2 + 5x + 5^2)]

=2x^2[(x-5) (x^2 + 5x + 25)]

Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.

Amber is incorrect because 125 is equal to b3, not b.

Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.

6 0
3 years ago
5c squared- d squared+3/2c - 4d...c= -1. d= -4​
riadik2000 [5.3K]

For this case we have the following expression:

5c ^ 2-d ^ 2 + \frac {3} {2} c-4d

We must find the value of the expression when:

c = -1\\d = -4

Substituting we have:

5 (-1) ^ 2 - (- 4) ^ 2 + \frac {3} {2} (- 1) -4 (-4) =\\5 (1) -16- \frac {3} {2} + 16 =\\5-16- \frac {3} {2} + 16 =\\-11- \frac {3} {2} + 16 =\\- \frac {25} {2} + 16 =\\\frac {-25 + 32} {2} =\\\frac {7} {2}

Finally, the value of the expression is:

\frac {7} {2}

ANswer:

\frac {7} {2}

5 0
3 years ago
12/18 ATB - Review question -<br> Evaluate 18x + 75 when x= 8.
boyakko [2]

Answer:

solution

x=8

so,

18 .8 +75

144 +75

219

7 0
3 years ago
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