MTH202 Quiz 4 by HB

Q1. A boy can choose from 5 train services and 3 bus services to go to his hometown, How many total options he can choose from?

1. 15
2. 8

Q2. The factorial form of 9.8.7.6 is ______.

1. 9!/5!
2. 7!/6!
3. 9!/4!
4. 6!/5!

Q3. Which of the followings is correct option?

1. C(n, k) = C(n + k, n – k)
2. C(n, n) = n
3. C(n, 0) = n
4. C(n, 1) = n

Q4. In how many ways a student can choose a course from 2 science courses,3 literature courses and 5 art courses.

1. 1440
2. 240
3. 10
4. 30

5. In how many ways a student can choose one of each of the courses when he is offered 3

mathematics courses, 4 literature courses and 2 history courses.

a. 288 · b. 24 · c. 14 · d.9

Q6. If order matters and repetition is not allowed, then which counting method should be used in order to select 'k' elements from a total of 'n' elements?

1. K-Sample
2. K-Selection
3. K-Permutation
4. K-Combination
5. There are three bus lines between A and B, and two bus lines between B and C.

Q8. Find the number of ways a person can travel round trip by bus from A to C by way of B ?

1. 5
2. 38
3. 6
4. 10

Q9. Which of the followings is the factorial form of 5 . 4 ?

1. 5/3!
2. 5!/3
3. 5/3