In how many different ways can 3 identical bowls of beef ramen noodles and 3 identical bowls of pork ramen noodles be distributed among 6 women such that each woman receives a bowl?
Options
A) 442  B) 4011  C) 94  D) 151  E) 20
Approach 1:   1st Woman: 6 has options   2nd Woman: 5 has options…   Therefore, for all women: 6 x 5 x 4 x 3 x 2 = 720 arrangements.   Since the beef bowls are identical, we divide by 3!; Since the pork bowls are identical, we divide by another 3!   So: in all, 720/[ 3! X 3! ] = 20 ways.   (e.g. Answer: 20)
<result>E</result>
In how many different ways can 3 identical bowls of beef ramen noodles and 3 identical bowls of pork ramen noodles be distributed among 6 women such that each woman receives a bowl?