50+ Permutations-and-combinations Questions

Permutations-and-combinations Questions Set 2:

Quiz Mode

If E(x) = 2 and E(z) = 4, then E(z - x) = ?

Solution:

How many permutations are there for the word "ADAMANT"?

840

2520

5040

Solution:

If X is a random variable between 0 and 3, the value of E(X^2) is

Solution:

Find the sum of all four-digit numbers that can be formed by the digits 1, 3, 5, 7, 9 without repetition.

666600

666500

555500

566600

Solution:

If E denotes the expectation, what is the formula for the variance of a random variable X?

(E(X))^2

E(X^2)

E(X^2) - (E(X))^2

E(X^2) + (E(X))^2

Solution:

The runs scored by a batsman in 5 one-day matches are 50, 70, 82, 93, and 20. What is the standard deviation of these scores?

25.79

27.79

23.69

25.39

Solution:

Find the number of different 8-letter arrangements that can be made from the letters of the word DAUGHTER so that all vowels occur together.

720

4,320

1,320

1,440

Solution:

A variable that can assume any value between two given points is called

Continuous random variable

Discrete random variable

Irregular random variable

Uncertain random variable

Solution:

Find the median and mode of the following set of numbers received on 9 consecutive days: 15, 11, 9, 5, 18, 4, 15, 13, 18.

Median: 13, Mode: 18

Median: 13, Mode: 15

Median: 13, Mode: 15, 18

Median: 15, Mode: 15

Solution:

If a pizza must have 3 toppings and the shop offers 10 different toppings, and no topping may be used more than once on a given pizza, how many different combinations of 3 toppings can be made?

270

120

360

720

Permutations-and-combinations Questions Set 2:

If E(x) = 2 and E(z) = 4, then E(z - x) = ?

Solution:

How many permutations are there for the word "ADAMANT"?

Solution:

If X is a random variable between 0 and 3, the value of E(X^2) is

Solution:

Find the sum of all four-digit numbers that can be formed by the digits 1, 3, 5, 7, 9 without repetition.

Solution:

If E denotes the expectation, what is the formula for the variance of a random variable X?

Solution:

The runs scored by a batsman in 5 one-day matches are 50, 70, 82, 93, and 20. What is the standard deviation of these scores?

Solution:

Find the number of different 8-letter arrangements that can be made from the letters of the word DAUGHTER so that all vowels occur together.

Solution:

A variable that can assume any value between two given points is called

Solution:

Find the median and mode of the following set of numbers received on 9 consecutive days: 15, 11, 9, 5, 18, 4, 15, 13, 18.

Solution:

If a pizza must have 3 toppings and the shop offers 10 different toppings, and no topping may be used more than once on a given pizza, how many different combinations of 3 toppings can be made?

Solution:

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