A forest consists of 4 elms, 6 red woods, and 5 birches In how many ways can 2 elms, 2 red woods and 2 birches be selected from the given group?
Choose the most appropriate option.
A) 987 ways B) 346 ways C) 5400 ways D) 157 ways E) 134 ways
The number of ways of selecting two elms, two red woods and two birches is:   = ⁴C₂ * ⁶C₂ * ⁵C₂   = (4 * 3 * 2)/(2 * 1) * (6 * 5)/(2 * 1) * (5 * 4 * 3)/(2 * 1)   = 12 * 15 * 30= 
<gadget id="calculator">12 * 15 * 30</gadget>
<output>5_400</output>
5400 ways.   Answer: 5400 ways
<result>C</result>
A forest consists of 4 elms, 6 red woods, and 5 birches In how many ways can 2 elms, 2 red woods and 2 birches be selected from the given group?