Bureau's Higher Secondary Elements of Mathematics Vol.1>Chapter 8 - Permutations and Combinations>EXERCISES 8 (c)>Q 21

EASY

11th Odisha Board

IMPORTANT

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In how many ways can a student choose $5$ courses out of $9$ if $2$ courses are compulsory?

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Important Questions on Permutations and Combinations

HARD

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Elements of Mathematics Vol.1>Chapter 8 - Permutations and Combinations>EXERCISES 8 (c)>Q 22

In how many ways can a student choose five courses out of the courses

C_{1}, C_{2} \dots . C_{9}

, if

C_{1}, C_{2}

arc compulsory and

C_{6}, C_{8}

can not be taken together ?

MEDIUM

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Elements of Mathematics Vol.1>Chapter 8 - Permutations and Combinations>EXERCISES 8 (c)>Q 23

A cricket team consisting of

11

players are to be chosen from

8

batsmen and

5

bowlers. In how many ways can the team be chosen so as to include at least

3

bowlers?

EASY

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Elements of Mathematics Vol.1>Chapter 8 - Permutations and Combinations>EXERCISES 8 (c)>Q 24

There are

n + r

points on a plane out of which

n

points lie on a straight line

L

and out of the remaining

r

points that lie outside

L

no three points are collinear. What is the number of straight lines that can be formed by joining pairs of these points?

EASY

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Elements of Mathematics Vol.1>Chapter 8 - Permutations and Combinations>EXERCISES 8 (c)>Q 25

There are

10

books in a shelf with different titles; five of these have red cover and others have green cover. In how many way can these be arranged so that the red cover books are placed together?