What is the number of ways that a cricket team of $11$ players can be made out of $15$ players?

364

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1001

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1365

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

32760

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $1365$
$11$ players, out of $15.$ have to be selected.
Using the formula $^{n} C_{r}$ , where $n = 15$ and $r = 11$ ,
$^{15} C_{11} = 1365$
So, $1365$ teams of $11$ players can be made.

Suggest Corrections

Similar questions

In a cricket board, Anil Jain is a cricket team selector. He can select a cricket team, 11 from 17 players in which only 5 players can bowl.

In how many ways exactly 4 bowlers must include out of 11 players?

In how many ways can a cricket team of 11 players be chosen out from a squad of 14 players, if 5 particular players are always chosen?

In how many ways can a cricket team be selected out of 15 players if a particular player has to be included?

Join BYJU'S Learning Program