Mathematics: Aman is planning for college and takes a standardized test. while registering for the test, he is allowed to select two schools to which his scores will be sent at no cost. if there are 11 colleges he is considering, how many different ways could he fill out the score report form?

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Aman is planning for college and takes a standardized

06laurenelizabeth

09.01.2022

The total number of ways he fill out the score report form is 55.

Step-by-step explanation:

Consider the provided information.

There are 11 colleges he is considering, he is allowed to select 2 schools to which his scores will be sent at no cost.

Out of 11 colleges he can only select 2 schools that means order doesn't matter.

According to the definition of combination: $^nC_r=\frac{n!}{r!(n-r)!}$

Substitute n = 11 and r = 2 in above formula

Therefore, the number of possible ways are:

$^{11}C_2=\frac{11!}{2!(11-2)!}$

$^{11}C_2=\frac{11!}{2!(9)!}$

$^{11}C_2=55$

Hence, the total number of ways he fill out the score report form is 55.

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