Chapter 9.6, Problem 85E

(a)

To determine

Determine which is the greater

Answer to Problem 85E

the answer is a number of permutations of 10 elements taken six at a time

Explanation of Solution

Given:

The number of combinations of 10 elements taken 6 at a time

The number of combinations of 10 elements taken 6 at a time is ${}_{10}{C}_6$

Here ${}_{10}{C}_6=\frac{10!}{6!(10-6)!}$

(b)

To determine

Determine which is the greater

Answer to Problem 85E

The answer is a number of permutations of 10 elements taken six at a time

Explanation of Solution

Given:

The number of permissions of 10 elements taken 6 at a time

The number of permissions of 10 elements taken 6 at a time is ${}_{10}{P}_6$

Here ${}_{10}{P}_6=\frac{10!}{(10-6)!}$

From the above two parts clearly denominator of part (a) is greater than the denominator of part (b), so the greater value is (b)

Hence the answer is a number of permutations of 10 elements taken six at a time.