14 logs are shipped to a saw mill. The decision must be made on whether they will be classified as Prime, Good, Acceptable, or Not Acceptable. The usual counts are 3 Prime, 5 Good, and 4 Acceptable. In how many ways can these logs be classified so as to match the usual counts

2522520

Step-by-step explanation:

Number of ways logs can be classified = 14C5 * 9C4*5C3

= 2002*126*10

= 2522520

Number of ways to select 5 good = 14C5, out of remaining 9, number of ways to select acceptable log = 9C4, out of remaining 5, number of ways to select prime log = 5C3 and remaking two unacceptable in 2C2 ways