how many ways can an IRS auditor select 3 of 11 tax returns for an audit?
would that be 1331
what is 11!/(3!*8!)
I get 11*10*9/3= 110*3= 330
check my thinking.
To calculate the number of ways an IRS auditor can select 3 out of 11 tax returns for an audit, we can use the concept of combinations.
The formula for calculating combinations is given by:
nCr = (n!)/((r!)(n-r)!)
In this case, we have 11 tax returns (n = 11) and we want to select 3 of them (r = 3).
Using the formula, we can calculate the number of ways as follows:
11C3 = (11!)/((3!)(11-3)!)
= (11!)/((3!)(8!))
= (11 * 10 * 9 * 8!)/((3 * 2 * 1)(8!))
= (11 * 10 * 9)/(3 * 2 * 1)
= 165
Therefore, there are 165 different ways an IRS auditor can select 3 of the 11 tax returns for an audit.