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Alisiya [41]
3 years ago
11

Four different sets of objects contain 2,5,6 and 7 objects respectively how many unique combinations can be formed by picking on

e object from each set
Mathematics
1 answer:
dusya [7]3 years ago
4 0

Answer:

420 unique combinations.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

One object from each set:

2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:

2*5*6*7 = 10*42 = 420

420 unique combinations.

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Please help....There are 42 boys and girls participating in an essay-writing competition. Of the competitors, 21 are in seventh
almond37 [142]
The probability of an 8th grader winning is : 14/42 which reduces to 1/3

the simulation would be : # 3 <====

because u will have 6 equal sections on ur spinner...with each section representing 7 people
one section representing 9th graders...so their is 7 of them
2 sections representing 8th graders....so their is 7 * 2 = 14 of them
and 3 sections representing 7th graders....7 * 3 = 21 of them

7 0
3 years ago
Read 2 more answers
The game. Their scores are shoun below.
Harrizon [31]

Answer:

Barb is correct she won by 10 points

Darius's=480

Barb=490

5 0
3 years ago
Simplify the following polynomial
Amiraneli [1.4K]

Answer:

-3x^4 - 13x^3 + 14x - 7

Step-by-step explanation:

(5x^4 – 9x^3 + 7x – 1) + (-8x^4 + 4x^2 – 3x + 2) - (-4x^3 + 5x - 1)(2x – 7)

simplify multiplied terms

(-4x^3 + 5x - 1)(2x – 7)

(-4x^3+10x-8)

group like terms together

(5x^4-8x^4) + (-9x^3-4x^3) + (7x-3x+10x) + (-1+2-8)

simplify grouped terms

-3x^4 - 13x^3 + 14x - 7

3 0
3 years ago
How many different outfits do you have if there are 4 choices of shirts. Shoes you can choose sandals, white tennis shoes, blue
Cloud [144]

Answer:

16

Step-by-step explanation:

6 0
2 years ago
Factorize the following algebraic expression:
Hoochie [10]
X^2+16-38=0
find what 2 numbers multiply to get -38 and add to get 16
find factors of 38
2 times 19
there is no way to use common factor so use quadratic formula which is
x=\frac{ -b+\sqrt{b^2-4ac} }{2a} or x=\frac{ -b-\sqrt{b^2-4ac} }{2a}

ax^2+bx+c=0 subsitte
a=1
b=16
c=-38
subsitute
\frac{ -16+\sqrt{16^2-4(1)(-38)} }{2(1)}=\frac{ -16+\sqrt{256+152} }{2}= \frac{ -16+\sqrt{408} }{2}= \frac{ -16+2\sqrt{102} }{2}=-8+\sqrt{102}
so the answers for x are -8+\sqrt{102} and -8-\sqrt{102}  which are aprox -2.099504938362 and +18.099504938362
so it would be
(x-[-8+√102])(x+[8+√102])=0


6 0
3 years ago
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