50+ Permutations-and-combinations Questions

Permutations-and-combinations Questions Set 1:

Quiz Mode

How many permutations are there in the word "STUFF"?

120

240

Solution:

In how many ways can we select 6 people out of 9, excluding a particular person?

10C3

9C3

9C6

10C9

Solution:

Find the number of rectangles and squares on an 8 by 8 chess board.

1092, 204

1092, 207

204, 1092

207, 1092

Solution:

The random variables X and Y have variances 0.2 and 0.5 respectively. Let Z = 5X - 2Y. The variance of Z is?

Solution:

Find the number of ways of arranging the letters of the word DANGER, so that no vowel occupies an odd position.

144

126

289

Solution:

In how many ways can 5 women and 4 men be seated in a row such that the women and men are always seated alternately?

1520

1800

2880

3120

Solution:

If a variable can take only certain integer values between two given points, it is called a _______ random variable.

Continuous

Discrete

Irregular

Uncertain

Solution:

In how many ways can 6 girls and 5 boys be seated in a row such that they are always seated in an alternating pattern (girl-boy-girl-boy-etc.)?

5500

24500

86400

3600

Solution:

What is the probability of an event 'G' if H denotes its complement, according to the axioms of probability?

P(G) = 1 / P(H)

P(G) = 1 - P(H)

P(G) = 1 + P(H)

P(G) = P(H)

Solution:

In a football tournament, every team needs to play a match with every other team in the first round. If 11 teams have participated, find the total number of matches played in the first round.

Permutations-and-combinations Questions Set 1:

How many permutations are there in the word "STUFF"?

Solution:

In how many ways can we select 6 people out of 9, excluding a particular person?

Solution:

Find the number of rectangles and squares on an 8 by 8 chess board.

Solution:

The random variables X and Y have variances 0.2 and 0.5 respectively. Let Z = 5X - 2Y. The variance of Z is?

Solution:

Find the number of ways of arranging the letters of the word DANGER, so that no vowel occupies an odd position.

Solution:

In how many ways can 5 women and 4 men be seated in a row such that the women and men are always seated alternately?

Solution:

If a variable can take only certain integer values between two given points, it is called a _______ random variable.

Solution:

In how many ways can 6 girls and 5 boys be seated in a row such that they are always seated in an alternating pattern (girl-boy-girl-boy-etc.)?

Solution:

What is the probability of an event 'G' if H denotes its complement, according to the axioms of probability?

Solution:

In a football tournament, every team needs to play a match with every other team in the first round. If 11 teams have participated, find the total number of matches played in the first round.

Solution:

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