121k views
3 votes
At blood drive, 5 donors with type O+ blood, 5 donors with type A+ blood, and 2 donors with type B+ blood in line. In how many distinguishable ways can the donors be in line?

User Bedford
by
6.9k points

1 Answer

1 vote

Answer:The product of a whole number 'n' with every whole number until 1 is called the factorial. The number of ways these 12 donors can stand in line is 18,480.

What is a factorial?

The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.

Given at a blood​ drive, 6 donors with type O+ ​blood, 3 donors with type A+ ​blood, and 3 donors with type B+ blood are in line. Therefore, the number of ways 12 donors can stand in a line is,

Number of ways = (12!)/(6!×3!×3!) = 18,480

Hence, the number of ways these 12 donors can stand in line is 18,480.

Explanation:

User Realistic
by
7.7k points