How many six digit number can be made from the digits 1, 1, 1, 2, 2, 3?

1 answer:

3 0

The permutation of all digits is $6!$ , but we don't differentiate the same digits, so we divide it by the number of permutations of 1's ( $3!$ ) and 2's ( $2!$ )

$\dfrac{6!}{3!2!}=\dfrac{4\cdot5\cdot6}{2}=60$

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Please anyone answer me

ollegr [7]

Let's divide the shaded region into two areas:

area 1: x = 0 ---> x = 2

ares 2: x = 2 ---> x = 4

In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.

Area 1:

$A\frac{}{1} = ∫g(x)dx = ∫xdx = \frac{1}{2} {x}^{2} | \frac{2}{0} = 2$

Area 2:

$A\frac{}{2} = ∫(g(x) - f(x))dx$

$= ∫(x - {(x - 2)}^{2} )dx$

$= ∫( - {x}^{2} + 5x - 4)dx$

$= ( - \frac{1}{3}{x}^{3} + \frac{5}{2} {x}^{2} - 4x) | \frac{4}{2}$

$= 2.67 - ( - 0.67) = 3.34$

Therefore, the area of the shaded portion of the graph is

A = A1 + A2 = 5.34

3 0

3 years ago

Please help. If f(x)= 2^x-1+3 and g(x)=5x-9 what is (f-g)(x)??

Readme [11.4K]

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(gf)(x)=4−5x3x+2

4 0

3 years ago

Read 2 more answers

Give me answer, i will mark best brainliest

Marta_Voda [28]

Answer:

Shape representation

Yellow = 1 whole unit

Blue = 1/3

Red = 1/2

Green = 1/6

1) see attachment