(C) Total players = $13$,Bowlers = $4$,Non-bowlers = $9$. We need to select $11$ players including at least $2$ bowlers.Case $1$: $2$ bowlers and $9$

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) Total players = $13$,Bowlers = $4$,Non-bowlers = $9$. We need to select $11$ players including at least $2$ bowlers.Case $1$: $2$ bowlers and $9$ non-bowlersNumber of ways = $^4C_2 \times ^9C_9 = 6 \times 1 = 6$Case $2$: $3$ bowlers and $8$ non-bowlersNumber of ways = $^4C_3 \times ^9C_8 = 4 \times 9 = 36$Case $3$: $4$ bowlers and $7$ non-bowlersNumber of ways = $^4C_4 \times ^9C_7 = 1 \times 36 = 36$Total number of ways = $6 + 36 + 36 = 78$.

Competitive Quantitative Aptitude Permutation and Combination Permutation and Combination

Medium

Out of $13$ cricket players,$4$ are bowlers. In how many ways can a cricket team of $11$ players be formed such that at least $2$ bowlers are included?

A
$55$
B
$72$
C
$78$
D
None of these

Explore More

Browse All

Question Bank

All Subjects

Competitive Questions

Competitive

Quantitative Aptitude Questions

Chapter

Permutation and Combination

Subtopic

Permutation and Combination

The number of words (with or without meaning) that can be formed from all the letters of the word "$LETTER$" in which vowels never come together is

Medium

View Solution

In an examination,there are three multiple-choice questions,and each question has $4$ choices. The number of ways in which a student can fail to get all answers correct is:

Easy

View Solution

The number of arrangements of the letters of the word $SALOON$,if the two $O$'s do not come together,is

Easy

View Solution

Let the eleven letters $A, B, \dots, K$ denote an arbitrary permutation of the integers $(1, 2, \dots, 11)$. Then, the product $(A - 1)(B - 2)(C - 3) \dots (K - 11)$ is:

Difficult

View Solution

Let $A$ and $B$ be two sets containing $4$ and $2$ elements respectively. Then the number of subsets of the set $A \times B$,each having at least $3$ elements is:

Difficult

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Out of $13$ cricket players,$4$ are bowlers. In how many ways can a cricket team of $11$ players be formed such that at least $2$ bowlers are included?

Similar Questions

The number of words (with or without meaning) that can be formed from all the letters of the word "$LETTER$" in which vowels never come together is

In an examination,there are three multiple-choice questions,and each question has $4$ choices. The number of ways in which a student can fail to get all answers correct is:

The number of arrangements of the letters of the word $SALOON$,if the two $O$'s do not come together,is

Let the eleven letters $A, B, \dots, K$ denote an arbitrary permutation of the integers $(1, 2, \dots, 11)$. Then, the product $(A - 1)(B - 2)(C - 3) \dots (K - 11)$ is:

Let $A$ and $B$ be two sets containing $4$ and $2$ elements respectively. Then the number of subsets of the set $A \times B$,each having at least $3$ elements is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module