An adventuring party consists of 4 white mages, 6 warriors, and 4 archers. In how many ways can 3 white mages, 2 warriors and 2 archers be selected from the given group? Options.
A) 987 ways  B) 446 ways  C) 360 ways  D) 157 ways  E) 134 ways
The number of ways of selecting three white mages, two warriors and two archers is:   = ⁴C₃ * ⁶C₂ * ⁴C₂   = (4 * 3 * 2)/(3 * 2 * 1) * (6 * 5)/(2 * 1) * (4 * 3)/( 2 * 1)   = 4 * 15 * 6= 
<gadget id="calculator">4 * 15 * 6</gadget>
<output>360</output>
360 ways.   Answer: 360 ways
<result>C</result>
An adventuring party consists of 4 white mages, 6 warriors, and 4 archers. In how many ways can 3 white mages, 2 warriors and 2 archers be selected from the given group?