Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 7

EASY

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IMPORTANT

Earn 100

In how many ways can $7$ students be selected from $12$ students?

Important Questions on Permutations and Combinations

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 8

How many triangles can be formed by joining nine points when no three of them are collinear.

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 9

Find the unit digit in the expansion of

1! + 2! + 3! + 4!

.

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 10

In how many ways can a student choose

7

subjects if

3

subjects are compulsory?

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 11

In how many ways can a football team of $11$ players be selected from $16$ players? How many of these will

include $2$ particular players?

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 12

There are

n

points on a circle. Find the number of straight lines formed by joining them.

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 13

If

x \in N

, solve the equation

\frac{(x + 2)!}{(2 x - 1)!} \cdot \frac{(2 x + 1)!}{(x + 3)!} = \frac{72}{7}

.

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 14

In how many ways can the letters of the DELHI be arranged so that the letter

E

and

H

occupy only even places?

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 15

Six men and five women are to sit in a row so that the women occupy the even places. Find the number of all possible arrangements?