Chapter MPS, Problem 11.9MPS

To determine

Find the number of ways to select the answers.

Answer to Problem 11.9MPS

  $10x^3{y}^2$

Explanation of Solution

Given information:

Mr. Hopkins is giving a five-question quiz.

Calculation:

Let, $x$ be the true answer.

  $y$ be the false answer.

So, the ecpanded form is as follows.

  ${\left(x+y\right)}^5=x^5+5x^{4}y+10x^3{y}^2+10x^2{y}^3+5x{y}^4+y^5$

Now, by adding the coefficients of the polynomials, there are $32$ combinations of true and false answers.

So, $10x^3{y}^2$ represents the number of combinations of $3$ true and $2$ false answers.

Hence, the combination is $10x^3{y}^2$ .