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The KOT club has 10 pledges. They will send at least 2 and no more than 9 pledges to work at Goodwill on Helping-Out Day. In how many ways can this be done?
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The number of ways is an illustration of combination

There are 1012 ways to send at least 2 and no more than 9 pledges to work

How to determine the number of ways

The given parameters are:

Pledges = 10

To send between 2 and 9 pledges

Start by calculating the number of ways to send all the pledges

[tex]n = 2^{10}[/tex]

Also,

  • 0th pledge can be sent in 1 way
  • 1st pledge can be sent in 1 way
  • 10th pledges can be selected from any of the 10 pledges

The number of ways the pledges can be sent is then calculated using the following complement rule

[tex]Ways = 2^{10} -1-1-10[/tex]

Evaluate the expression

[tex]Ways = 1012[/tex]

Hence, there are 1012 ways to send at least 2 and no more than 9 pledges to work

Read more about combination at:

https://brainly.com/question/4658834