Senior Secondary School Mathematics FOR CLASS 11>Chapter 9 - Combinations>EXERCISE 9B>Q 8

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A cricket team of $11$ players is to be selected from $16$ players including $5$ bowlers and $2$ wicketkeepers. In how many ways can a team be selected so as to consist of exactly $3$ bowlers and $1$ wicketkeeper?

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Important Questions on Combinations

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IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 9 - Combinations>EXERCISE 9B>Q 9

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

wicketkeepers, assuming that the team of

11

players requires

5

batsmen,

3

all-rounders,

2

bowlers and

1

wicketkeeper?

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 9 - Combinations>EXERCISE 9B>Q 10

A question paper has two parts, part

A

and part

B

, each containing

10

questions. If the student has to choose

8

from part

A

and

5

from part

B

, in how many ways can he choose the questions?

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 9 - Combinations>EXERCISE 9B>Q 11

In an examination, a student has to answer

4

questions out of

5

. Questions

1

and

2

are compulsory. Find the number of ways in which the student can make the choice.

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 9 - Combinations>EXERCISE 9B>Q 12

In an examination, a student has to answer

10

questions, choosing at least

4

from each of part

A

and part

B

. If there are

6

questions in part

A

and

7

in part

B

, in how many ways can these questions be chosen?

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 9 - Combinations>EXERCISE 9B>Q 13

In an examination, a candidate is required to answer

7

questions out of

12

, which are divided into two groups, each containing

6

questions. One cannot attempt more than

5

questions from either group. In how many ways can he choose these questions?

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Senior Secondary School Mathematics FOR CLASS 11>Chapter 9 - Combinations>EXERCISE 9B>Q 14

Out of $6$ teachers and $8$ students, a committee of $11$ is to be formed. In how many ways can this be done, if the committee contains exactly $4$ teachers?

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11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 9 - Combinations>EXERCISE 9B>Q 14

Out of $6$ teachers and $8$ students, a committee of $11$ is to be formed. In how many ways can this be done, if the committee contains at least $4$ teachers?

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11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 9 - Combinations>EXERCISE 9B>Q 15

A committee of $7$ has to be formed from $9$ boys and $4$ girls. In how many ways can this be done when the committee consists of exactly $3$ girls?