Home » Further Mathematics » How many ways can 12 people be divided into three groups of 2, 7 and…

How many ways can 12 people be divided into three groups of 2, 7 and…

How many ways can 12 people be divided into three groups of 2, 7 and 3 in that order?

  • A.
    7920
  • B.
    792
  • C.
    187
  • D.
    42
Correct Answer: Option A
Explanation

= (frac{12!}{2! 3! 7!} )

(frac{12 times 11 times 10 times 9 times 8 times 7!}{2 times 3 times 2 times 7!})

= (7,920)