MATHEMATICS for CLASS XI>Chapter 17 - Combinations>EXERCISE 17.3>Q 7

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11th CBSE

IMPORTANT

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Find the number of ways in which:
an arrangement, of four letters can be made from the letters of the word $" PROPORTION "$ .

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Important Questions on Combinations

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11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 17 - Combinations>EXERCISE 17.3>Q 8

How many words can be formed by taking

4

letters at a time from the letters of the word

' MORADABAD'

?

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11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 17 - Combinations>EXERCISE 17.3>Q 9

A business man hosts a dinner to

21

guests. He is having

2

round tables which can accommodate

15

and

6

persons each. In how many ways can he arrange the guests?

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11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 17 - Combinations>EXERCISE 17.3>Q 10

How many words can be formed of

4

letters taken from the word

' EXAMINATION'

.

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11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 17 - Combinations>EXERCISE 17.3>Q 11

A tea party is arranged for

16

persons along two sides of a long table with

8

chairs on each side. Four persons wish to sit on one particular side and two on the other side. Number of ways in which persons can be seated are

{}^{n}C_{4} \times {(a!)}^{2}

. Find the value of

(n + a)

.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 17 - Combinations>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 1

Write $\sum_{r = 0}^{m} {}^{n + r}C_{r}$ in the simplified form.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 17 - Combinations>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 2

If

{}^{35}C_{n + 7} = {}^{35}C_{4 n - 2}

, then write the values of

n

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11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 17 - Combinations>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 3

If the number of diagonals of an

n

-sided polygon is

\frac{n (n - a)}{b}

then find the value of

(a + b)

.

EASY

11th CBSE

IMPORTANT

MATHEMATICS for CLASS XI>Chapter 17 - Combinations>VERY SHORT ANSWER QUESTIONS (VSAQs)>Q 4

If the expression

{}^{n}C_{r + 1} +^{n} C_{r - 1} + 2 \times^{n} C_{r} =^{n + a} C_{r + b}

, where

a

and

b

are integers, then find the value of

(a + b)

.