How many diagonals are there in an octagon?

Important Questions on Permutations and Combinations

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 33 - Permutations and Combinations>EXERCISE>Q 44

A polygon has $54$ diagonals. Number of sides in this polygon is

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 33 - Permutations and Combinations>EXERCISE>Q 45

There are $10$ points in a plane, out of which $4$ points are collinear. The number of line segments obtained from the pairs of these points is

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 33 - Permutations and Combinations>EXERCISE>Q 46

There are $10$ points in a plane, out of which $4$ points are collinear. The number of triangles formed with vertices as these points is

EASY

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 33 - Permutations and Combinations>EXERCISE>Q 47

Out of $7$ consonants and $4$ vowels, how many words of $3$ consonants and $2$ vowels can be formed?

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11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 33 - Permutations and Combinations>EXERCISE>Q 48

In how many ways can a committee of $5$ members be selected from $6$ men and $5$ ladies, consisting of $3$ men and $2$ ladies?

EASY

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 33 - Permutations and Combinations>EXERCISE>Q 49

Out of $5$ men and $2$ women, a committee of $3$ is to be formed. In how many ways can it be formed if at least one woman is included in each committee?

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11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 33 - Permutations and Combinations>EXERCISE>Q 50

A committee of $5$ is to be formed out of $6$ gents and $4$ ladies. In how many ways can this be done when cach committee may have at the most $2$ ladies?

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 33 - Permutations and Combinations>EXERCISE>Q 51

How many different teams of $7$ players can be chosen out of $10$ players?