Topics

General Knowledge
General Science
General English
Aptitude
General Computer Science
General Intellingence and Reasoning
Current Affairs
Exams
Elementary Mathematics
English Literature

In how many ways, a cricket team of 11 players can be made from 15 players, if a particular player is always chosen?

A) 1835
B) 1001
C) 1635
D) 1365

Correct Answer:


B) 1001

Description for Correct answer:
Since, particular player is always chosen. It means that 11 ï¿½ 1 = 10 players are selected out of the remaining 15 ï¿½ 1 = 14 players.

So the required number of ways = \( \large14C_10 = \frac{14!}{10! \times 4!} \)

= \( \large\frac{14 \times 13 \times 12 \times 11}{4 \times 3 \times 2 \times 1} \)

= 7 X 13 X 11

= 91 x 1 = 1001

Part of solved Permutation and combination questions and answers : >> Aptitude >> Permutation and combination

Comments

Similar Questions

1). In how many ways, a cricket team of 11 players can be made from 15 players, if a particular player is never chosen?

A). 364

B). 480

C). 1365

D). 640

2). How many straight lines can be drawn from 15 non collinear points?

A). 105

B). 120

C). 110

D). 115

3). There is a polygon of 12 sides. How many triangles can be drawn using the vertices of polygon?

A). 200

B). 220

C). 240

D). 260

4). There are 14 points in a plane, out of which 4 are collinear. Find the number of triangles made by these points.

A). 364

B). 360

C). 368

D). 365

5). There are 10 points in a plane, out of which 5 are collinear. Find the number of straight lines formed by joining them.

A). 36

B). 45

C). 30

D). 35

6). Find the number of diagonals forms in hexagon.

A). 12

B). 10

C). 6

D). 9

7). A question paper consists of two sections having respectively 3 and 5 questions. The following note is given on the paper. "It is not necessary to attempt all the questions". One question from each section is compulsory. In how many ways, a candidate...

A). 38

B). 217

C). 256

D). 320

8). Find the number of combinations that can be formed with 5 oranges, 4 mangoes and 3 bananas, when one fruit of each kind is taken.

A). 60

B). 120

C). 110

D). 75

9). In how many ways, 12 balls can be divided between two boys, one receiving 5 and the other 7 balls?

A). 1784

B). 1584

C). 1854

D). 1560

10). There are 10 stations in a railway line. The number of different journey tickets that are required by the authorities, is

A). 92

B). 90

C). 91

D). 93