The three

The three boys, Adam, Boris, and Cyril, will be taken on a two-seater ski lift. How many different removal options are there? What would it be like if four boys or five were to be taken away?

Correct answer:

n3 =  3
n4 =  6
n5 =  60

Step-by-step explanation:

C2(3)=(23)=2!(32)!3!=13=3  n3=(23)=3
C2(4)=(24)=2!(42)!4!=2143=6  C2(2)=(22)=2!(22)!2!=11=1  n4=(24) (22)=6 1=6
C1(2)=(12)=1!(21)!2!=12=2 C2(5)=(25)=2!(52)!5!=2154=10  n5=(25) (252) (2522)=10 (252) (2522)=60

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