Mathematics

Permutations-and-Combinations

Easy

### Question

#### The number of numbers that can be formed with the help of the digits 1,2,3,4,3,2,1, so that odd digits always occupy odd places is

- 24
- 18
- 12
- 30

#### The correct answer is: 18

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### Related Questions to study

mathematics

#### If 5(x - 8) + 3(x - 8) = 80, what is the value of X - 8 ?

8(x – 8) = 80

(x – 8) = 10

Option (D)

(x – 8) = 10

Option (D)

#### If 5(x - 8) + 3(x - 8) = 80, what is the value of X - 8 ?

mathematicsgrand-tests

8(x – 8) = 80

(x – 8) = 10

Option (D)

(x – 8) = 10

Option (D)

mathematics

#### x is 63% of y. If x > 0, which expression represents y in terms of x ?

Option (B)

#### x is 63% of y. If x > 0, which expression represents y in terms of x ?

mathematicsgrand-tests

Option (B)

mathematics

#### Which of the following linear equations has no solution?

No solution occurs when:

Xa

Where a

The only option that conforms to this is option (C).

Xa

_{1}+ b_{1}= xa_{2}+ b_{2}Where a

_{1}= a_{2}and b1 b2The only option that conforms to this is option (C).

#### Which of the following linear equations has no solution?

mathematicsgrand-tests

No solution occurs when:

Xa

Where a

The only option that conforms to this is option (C).

Xa

_{1}+ b_{1}= xa_{2}+ b_{2}Where a

_{1}= a_{2}and b1 b2The only option that conforms to this is option (C).

mathematics

#### Which quadratic equation has exactly one distinct real solution?

One solution occurs when

b2 = 4ac = 0.

The only option that asrees to this is option (D).

b2 = 4ac = 0.

The only option that asrees to this is option (D).

#### Which quadratic equation has exactly one distinct real solution?

mathematicsgrand-tests

One solution occurs when

b2 = 4ac = 0.

The only option that asrees to this is option (D).

b2 = 4ac = 0.

The only option that asrees to this is option (D).

mathematics

#### The number of employees in Jorge's business can be modeled by the equation E(t) = 4(1.2)^{t}, where t is the number of years since the business opened. Which of the following is the best interpretation of the number 4 in this context?

According to exponential formula

Y = a(b)

Where a = initial value

Hence option (c).

Y = a(b)

^{x}Where a = initial value

Hence option (c).

#### The number of employees in Jorge's business can be modeled by the equation E(t) = 4(1.2)^{t}, where t is the number of years since the business opened. Which of the following is the best interpretation of the number 4 in this context?

mathematicsgrand-tests

According to exponential formula

Y = a(b)

Where a = initial value

Hence option (c).

Y = a(b)

^{x}Where a = initial value

Hence option (c).

mathematics

#### The graph shows the mass, in kilograms, of an African elephant from birth to age 20 years.

What was the average rate of change in mass, in kilograms per year, of the elephant from age 6 years to age 10 years?

From graph and using slope formula, option D.

#### The graph shows the mass, in kilograms, of an African elephant from birth to age 20 years.

What was the average rate of change in mass, in kilograms per year, of the elephant from age 6 years to age 10 years?

mathematicsgrand-tests

From graph and using slope formula, option D.

mathematics

The shaded region shown represents the solutions to which inequality?

From substituting the y and x values from x, option A.

The shaded region shown represents the solutions to which inequality?

mathematicsgrand-tests

From substituting the y and x values from x, option A.

mathematics

Some values of x and their corresponding values of f(x) for the linear function fare shown in the table. What is the value of f (-6) ?

Linear function form

C = - 1 Since [x = 0 means y – intercept]

= 2 - 1

y = 1

Option A

C = - 1 Since [x = 0 means y – intercept]

= 2 - 1

y = 1

Option A

Some values of x and their corresponding values of f(x) for the linear function fare shown in the table. What is the value of f (-6) ?

mathematicsgrand-tests

Linear function form

C = - 1 Since [x = 0 means y – intercept]

= 2 - 1

y = 1

Option A

C = - 1 Since [x = 0 means y – intercept]

= 2 - 1

y = 1

Option A

mathematics

The average amount spent, in dollars, by each attendee at a conference from 2008 to 2010 is shown in the table. Which of the following quadratic functions best models the average amount spent f(x), by attendees at the conference from 2008 to 2010, where xis the number of years after 2008?

From substitution option B

The average amount spent, in dollars, by each attendee at a conference from 2008 to 2010 is shown in the table. Which of the following quadratic functions best models the average amount spent f(x), by attendees at the conference from 2008 to 2010, where xis the number of years after 2008?

mathematicsgrand-tests

From substitution option B

mathematics

#### A landscape-supply company sells mulch at a rate of $30 per cubic yard. What price does the company charge for 54 cubic feet of mulch? (1 yard= 3 feet)

Option B.

#### A landscape-supply company sells mulch at a rate of $30 per cubic yard. What price does the company charge for 54 cubic feet of mulch? (1 yard= 3 feet)

mathematicsgrand-tests

Option B.

mathematics

The graph of y = f(x) - 2 is shown. Which equation defines function f ?

When subtracted by (-2) the graph is translated down by 2 units. So f(x) intersects origin so option A

The graph of y = f(x) - 2 is shown. Which equation defines function f ?

mathematicsgrand-tests

When subtracted by (-2) the graph is translated down by 2 units. So f(x) intersects origin so option A

mathematics

#### The mean score of a basketball team for its last 8 games was 64.5. If the highest score of these games is removed, the mean score of the remaining games becomes 63. What was the highest score of the last 8 games?

N= 516

516 – y = 441

75 = y

Option (A)

#### The mean score of a basketball team for its last 8 games was 64.5. If the highest score of these games is removed, the mean score of the remaining games becomes 63. What was the highest score of the last 8 games?

mathematicsgrand-tests

N= 516

516 – y = 441

75 = y

Option (A)

mathematics

#### 28 is p% of 35. What is the value of p ?

#### 28 is p% of 35. What is the value of p ?

mathematicsgrand-tests

mathematics

#### The scatterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown.

For how many data points does the line of best fit predict a y-value greater than they-value of the actual data point?

According to information from graph.

Answer = 3.

Answer = 3.

#### The scatterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown.

For how many data points does the line of best fit predict a y-value greater than they-value of the actual data point?

mathematicsgrand-tests

According to information from graph.

Answer = 3.

Answer = 3.

mathematics

#### What is the x-coordinate of the x-intercept of the line with equation when it is graphed in the xy-plane?

On substituting y =0,

#### What is the x-coordinate of the x-intercept of the line with equation when it is graphed in the xy-plane?

mathematicsgrand-tests

On substituting y =0,