Question

Ramesh Abhijeet and Ajay are eligible to be the captain of the cricket team. Shad, john, Shishit, and Nithin are eligible to be the co-captain How many
possible accomes are there for choosing a captain and a co-captain?
5​

Answer 1

Answer:

12

captain chance =3

co captain chance=4

both=3*4=12

Answer 2

There are 12 potential outcomes for selecting a captain and a co-captain.

Given:

Ramesh, Abhijeet, and Ajay want to be captain of the cricket team whereas Shad, John, Shishit, and Nithin wish to be the co-captain

To find:

Total outcomes for choosing a captain and a co-captain.

Solution:

There are 3 players for the post of captain.

Total number of outcomes for choosing the captain= 3$C_{1}$

=3

Also, there are 4 players for the post of co-captain.

Total number of outcomes for the post of co-captain=4$C_{1}$

Total number of outcomes for the post of captain as well as co-captain = Number of outcomes for captain× Number of outcomes for co-captain

=3×4

=12

Hence, the total number of outcomes for the post of Captain as well as co-captain is 12.