Abaseball manager has 11 players of the same ability. how many 9 player starting lineups can he

create?

55

Step-by-step explanation:

Combination will be used here as teams are a group.

So using combination:

No. of combination of 'n' things taken 'r' at a time

=

here n = 11 ,

r = 9

11C9 =   =

11C9 = 55

Which are the possible 9 player starting lineups

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.