How many ways are there to arrange 9 people in a line??

2 answers:

6 0

In order to find the answer to this question, lets first answer a simpler on and work our way up.

How many ways can we arrange 2 people in a line?
Let's take a, and b as our people. We can arrange them like ab, ba. 2 ways.

How many ways can we arrange 3 people in a line?
Let's take a, b, and c as our people. We can arrange them like abc, acb, bac, bca, cba, cab. 6 ways.

How many ways can we arrange 4 people in a line?
Let's take a, b, c and d as our people. We can arrange them like abcd, abdc, acbd, acdb, adbc, adcb, bacd, badc, bcad, bcda, bdac, bdca, cabd, cadb, cbad, cbda, cdba, cdab, dabc, dacb, dbac, dbca, dcab, dcba. 24 ways.

From this we can take the rule x = n!, where x is the number of arrangments and n is the number of people. Following this rule we can calculate the answer to be 9! or 362 880 arrangements.

vovangra [49]3 years ago

3 0

9×9, there are 81 ways

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State the number of real zeros and what they are for "3x^2+5x-2" pleas help me:'(

Lady bird [3.3K]

This can be solved by factoring.

First, set the expression equal to zero.

$3x^2+5x-2=0$

Then, find two the factors of $ac$ whose sum is $b$ .

$6, -1$

Split $b$ into these two factors.

$3x^2+6x-x-2=0$

Next, factor by grouping.

$3x(x+2)-1(x+2) = (3x-1)(x+2) = 0$

By the Zero Product Property, set each factor equal to zero.

$3x-1 = 0 \\ x = 1/3$

$x+2=0 \\ x = -2$

These are the solutions. The Complex Conjugate Root Theorem and the Fundamental Theorem of Algebra both state that, in essence, real and imaginary solutions come in pairs of two and every polynomial of degree $n$ has exactly $n$ complex roots, but real roots are also complex roots. That sounds confusing, but this just means that you're done. Your answers are -2 and 1/3. There are two real roots.

3 0

4 years ago

The diameter of a circle is 18m. Eugene claims that the circumstances of the circle is 113.04m. What is the circumference of the

pogonyaev

Answer:

The circumference is 56.52 m

Step-by-step explanation:

Eugene likely made the mistake of doubling the diameter thinking that it was the radius which gave the answer double the actual one. The equation for finding a circumference is C= $\pi$ D where d is equal to the diameter and c is the circumference. All you do is multiply 18 and 3.14 to get your answer.