You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Venn Diagram

In a team of ...

Question

In a team of 11, seven are batsmen, six are bowlers and one of them is a wicket keeper-batsman. How many of them are all-rounders (both batting and balling)?

__

Open in App

Solution

We should assume here that everyone is either a batsman or a bowler. The Venn diagram will look like

The wicket keeper batsman is inside the circle of batsmen. We know there are total of 11 players.

Total number of players = 1 wicket keeper+ 6 batsmen+6 bowlers - n all-rounders

11 = 1+ 6+6-n = 13-n

n = 2

Suggest Corrections

Similar questions

In a team of 11, seven are batsmen, six are bowlers and one of them is a wicket keeper-batsman. How many of them are all-rounders (both batting and balling)?

___

Q. In how many ways can a cricket team be selected from a group of

25

players containing

10

batsmen,

8

bowlers,

5

all-rounders and

2

wicket keepers? Assume that the team of

11

players requires

5

batsmen,

3

all-rounders,

2

bowlers and

1

wicket keeper.

We have to choose

11

players for cricket team from eight batsmen, six bowlers, four all rounders and two wicket keepers in the following conditions.

Number of selections when a particular batsman and particular wicket keeper don't want to play together, is

Q. We have to choose

11

players for cricket team from eight batsmen, six bowlers, four all-rounders and two wicket-keepers. The number of selections when only one all-rounder and one wicket-keeper will play, is

Q. We have to choose

11

players for cricket team from eight batsmen, six bowlers, four all-rounders and two wicket-keepers. The number of selections when only one all-rounder and one wicket-keeper will play, is

Join BYJU'S Learning Program