Bunuel wrote:
Eight Alaskan Huskies are split into pairs to pull one of four sleds in a race. How many different assignments of Huskies to sleds are possible?
A. 32
B. 64
C. 420
D. 1680
E. 2520
A. 32
B. 64
C. 420
D. 1680
E. 2520
We have to make 4 pairs out of 8 and assign them at 4 sleds
first pair can be made in 8C2 = 28 ways
Second pair can be made in 6C2 = 15 ways
Third pair can be made in 4C2 = 6 ways
Forth pair can be made in 2C2 = 1 ways
i.e. Required Outcome \(= 8C2*6C2*4C2*2C2= 28*15*6*1 = 2520\)
Answer: Option E