True or False

1.The number of permutations of r objects out of n (r > 1), is greater than the number of combinations of r objects out of n.

Respuesta :

Answer:

True

Step-by-step explanation:

Permutation is act of arranging members of a set while combination is selection of the items from collection.

The number of permutation of r object out of n is:

[tex]^nP_r=\frac {n!}{(n-r)!}[/tex]

The number of combinations of r object out of n is:

[tex]^nC_r=\frac {n!}{(n-r)!\times r!}[/tex]

Or,  

[tex]^nC_r=\frac {^nP_r}{r!}[/tex]

So, number of the permutations of r objects out of n is greater than number of the combinations of r objects out of n.