Decide if the following scenario involves a permutation or combination. Then find the number of possibilities. The batting order for nine players on a team with 11 people.

Given:

The batting order for nine players on a team with 11 people.

To find:

The number of possibilities for the given scenario.

Solution:

First, we need to select 9 players from 11 people, it involves combination, i.e. .

Second, we need to arrange the order of 9 selected players, it involves permutation, i.e., .

The number of possibilities for the given scenario is:

Therefore, the following scenario involves both permutation and combination, and the number of possibilities is 19958400.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

the correct answer is d

hope this