Daily Exam 4 – Probability and Statistics – Additonal – 01

How many 3 digits number can be made out of the numbers 0, 1, 3, 5, 6, 7 and 9 if no repetition is allowed.

343

Correct Incorrect Correct answer

282

Correct Incorrect Correct answer

210

Correct Incorrect Correct answer

180

Correct Incorrect Correct answer

How many 3 digits numbers greater than 600 can be made out of the numbers 0, 1, 3, 5, 6, 7 and 9 if repetition is allowed.

147

Correct Incorrect Correct answer

126

Correct Incorrect Correct answer

343

Correct Incorrect Correct answer

98

Correct Incorrect Correct answer

How many permutation can be made out of the letters in the word COMPUTER taken 4 at a time.

336

Correct Incorrect Correct answer

1680

Correct Incorrect Correct answer

6720

Correct Incorrect Correct answer

20160

Correct Incorrect Correct answer

How many four digits numbers can be formed by the use digits 1, 2, 3, 4 and 6 without repeating any digits.

120

Correct Incorrect Correct answer

320

Correct Incorrect Correct answer

280

Correct Incorrect Correct answer

360

Correct Incorrect Correct answer

In how many ways can 4 person be seated in a room where there are 9 seats.

3024 ways

Correct Incorrect Correct answer

2400 ways

Correct Incorrect Correct answer

3940 ways

Correct Incorrect Correct answer

4010 ways

Correct Incorrect Correct answer

How many four digits numbers can be formed by the use of digits 1, 2, 3, 4, 6 and 7 if one digits is used only once in one number?

240

Correct Incorrect Correct answer

320

Correct Incorrect Correct answer

280

Correct Incorrect Correct answer

360

Correct Incorrect Correct answer

A permutation is an ordered arrangement of any number of things. There are two permutations of letters m and n taken three at the time opq, oqp, poq, pqo, qop and qpo, 24 permutations of letters r, s, t, v taken four at the time. How many permutations are there of the six letters r, s, t, u, v, w taken six at a time?

720

Correct Incorrect Correct answer

640

Correct Incorrect Correct answer

120

Correct Incorrect Correct answer

540

Correct Incorrect Correct answer

In a licensure examination, an examinee may select 7 problems from a set of 10 questions. In how many ways can he make his choice?

100 ways

Correct Incorrect Correct answer

150 ways

Correct Incorrect Correct answer

50 ways

Correct Incorrect Correct answer

120 ways

Correct Incorrect Correct answer

In a dice game, one fair die is used. The players wins P20 if he rolls either a 1 or a 6. He loses P10 if he turns up any other face. What is the exceed winning for one roll of the die?

P0

Correct Incorrect Correct answer

P3.33

Correct Incorrect Correct answer

P5.00

Correct Incorrect Correct answer

P6.67

Correct Incorrect Correct answer

Roll a pair of dice one time. What is the probability that the sum of two numbers is 9?

1/36

Correct Incorrect Correct answer

1/9

Correct Incorrect Correct answer

1/18

Correct Incorrect Correct answer

2/9

Correct Incorrect Correct answer

If the fourth term of an arithmetic progression is -1, and the seventh terms is -7, what is the sum of the first 50 terms?

2,700

Correct Incorrect Correct answer

2,200

Correct Incorrect Correct answer

7,200

Correct Incorrect Correct answer

2,002

Correct Incorrect Correct answer

The first term of an arithmetic progression (AP) is 3 and the common difference is -2. How many terms are there in the AP if the sum is -32 ?

5

Correct Incorrect Correct answer

6

Correct Incorrect Correct answer

7

Correct Incorrect Correct answer

8

Correct Incorrect Correct answer

Maria is asked to arranged 5 books in a row such that two particular books must occupy both ends. How many ways can she arranged the books?

6

Correct Incorrect Correct answer

6!

Correct Incorrect Correct answer

12

Correct Incorrect Correct answer

120

Correct Incorrect Correct answer

If a committee of 3 is to be selected from a group of 5 girts and 3 boys, what is the probability that two boys are selected?

3/56

Correct Incorrect Correct answer

5/56

Correct Incorrect Correct answer

8/56

Correct Incorrect Correct answer

15/56

Correct Incorrect Correct answer

A bag contains ten balls which are numbered 1, 2, 3,.., 10. If 4 balls are drawn, what is the probability that the 4 balls are even numbered?

5/10

Correct Incorrect Correct answer

4/10

Correct Incorrect Correct answer

1/10

Correct Incorrect Correct answer

1/42

Correct Incorrect Correct answer

In how many ways can 8 people be seated in a row if there are only 3 seats available?

6,700

Correct Incorrect Correct answer

363

Correct Incorrect Correct answer

336

Correct Incorrect Correct answer

24

Correct Incorrect Correct answer

How many different ways can a party host arrange 5 red balloons and 4 blue balloons in a row such that no two balloons of the same color stay together?

20

Correct Incorrect Correct answer

24

Correct Incorrect Correct answer

120

Correct Incorrect Correct answer

2,880

Correct Incorrect Correct answer

How many different 3-digit numbers can be formed from the digits 0, 1, 2, 3, …, 9 if repetition is not allowed?

108

Correct Incorrect Correct answer

118

Correct Incorrect Correct answer

810

Correct Incorrect Correct answer

900

Correct Incorrect Correct answer

If 6 guests are to be seated in a round table, how many ways can they be seated such that 2 of them must not sit next to each other?

120

Correct Incorrect Correct answer

108

Correct Incorrect Correct answer

12

Correct Incorrect Correct answer

4

Correct Incorrect Correct answer

A one-peso coin and a five-peso coin are tossed. In how many ways can they fall?

2

Correct Incorrect Correct answer

3

Correct Incorrect Correct answer

4

Correct Incorrect Correct answer

5

Correct Incorrect Correct answer

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Daily Exam 4 – Probability and Statistics – Additonal – 01

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