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

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IMPORTANT

Earn 100

Number of outcomes, when $3$ identical dice are thrown together, is

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Important Questions on Permutations and Combinations

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

A class has

15

students. The number of ways of forming a team of students including at least two students and also excluding at least two students, is

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

Five balls are to be placed in four boxes. Each can hold all the five balls. Number of ways in which we can place the balls so that no box remains empty, if the balls as well as boxes are identical, is

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

The total number of

5

-digit numbers of different digits using the digits

0, 1, 2, . . . . . . . 7

, in which the digit in the middle is the largest is

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Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 16

If

\sum_{k = 0}^{n} (k^{2} + k + 1) k! = (2007) \cdot 2007!

, then value of

n

is

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Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 1

If

{}^{n}C_{4}, {}^{n}C_{5}

and

{}^{n}C_{6}

are in

A . P .

, then value of

n

can be :

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Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 2

The results of

11

chess matches (as win, lose or draw) are to be forecast. Out of all possible forecasts, the number of ways in which

8

correct and

3

incorrect results can be forecast is

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Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 3

Ritu has to answer

10

out of

13

questions in an examination. The of ways in which she can answer if she must answer at least

3

of the first five questions is

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Gamma Question Bank for Engineering Mathematics>Chapter 7 - Permutations and Combinations>Assignment>Q 4

Let

N

denote the number of ways in which

n

boys can be arranged in a line so that

3

particular boys are separated then, then

N

is equal to