Solve a combination word problem

There are 13 qualified applicants for 4 trainee positions in a fast food management program. How many different groups of trainees can be selected?

Here the order in which the trainees are chosen in not important. Therefore, you can just use the combination formula to solve this problem.

C(n,r) = n!/r!(n-r)!

n = 13 and r = 4

C(13,4) = 13! / 4!(13-4)!

C(13,4) = 13! / 4!(9)!

C(13,4) = (13 × 12 × 11 × 10 × 9!) / 4!(9)!

C(13,4) = (13 × 12 × 11 × 10) / 4!

C(13,4) = (17160) / 24

C(13,4) = (17160) / 24

C(13,4) = 715

The number of different groups of trainees is 715

Click here to post comments

Join in and write your own page! It's easy to do. How? Simply click here to return to Algebra word problems.

Recent Articles

  1. Quadratic Formula: Easy To Follow Steps

    Jan 26, 23 11:44 AM

    Quadratic formula
    Learn about the quadratic formula, the discriminant, important definitions related to the formula, and applications.

    Read More

  2. Area Formula - List of Important Formulas

    Jan 25, 23 05:54 AM

    Frequently used area formulas
    What is the area formula for a two-dimensional figure? Here is a list of the ones that you must know!

    Read More

Tough algebra word problems

100 Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Math quizzes

 Recommended

Math vocabulary quizzes