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- 1. Multiple Choice
There are seven kinds of fruit sold at a fruitstand in the market. Kate buys here three kinds of fruit, 1 kg of each. How many ways are there for Kate to make her choice?
7!
210
3!
24
- 2. Multiple Choice
How many three-digit natural numbers can be assembled from the digits 2, 3, 4, 5, 6, 7, if the digits are not repeated?
120
720
7!
3!
- 3. Multiple Choice
How many four-digit numbers are there that are divisible by 3, end with a 5, and in which each of the digits 3; 4; 6 occurs among the digits?
24
12
none
6
- 4. Multiple Choice
The registration number of a vehicle consists of two letters, three numbers and two letters. How many registration numbers can we form if we use 25 letters and the digits 0-9?
390 625 000
625 000
252×103
252×93
- 5. Multiple Choice
There are 24 boys and 15 girls in a dance circle. How many different pairs can be formed if the dancing couple is always a pair of girl-boy?
24! / (24-15)!
24!×15!
360
24! / 15!
- 6. Multiple Choice
In how many ways can 5 students sit around a table, if the orientation of the seating is important?
24
120
12
60
- 7. Multiple Choice
8 girls need to be arranged around a table. Two among them always sit together. In how many ways can they be arranged?
8!
7! × 2
6!
6! × 2
- 8. Multiple Choice
Amy, Ben, Claudia and Dan are sitting down randomly on a bench, next to one another. In how many different ways can it happen that neither the two boys (Ben and Dan), nor the two girls (Amy and Claudia) are sitting next to each other?
24
8
12
6
- 9. Multiple Choice
The number of permutations of the letters in the word MICHIGAN is _____.
40320
5040
7!
20160
- 10. Multiple Choice
8 persons attended an interview at a company where each person can be either selected or rejected. Find the number of ways of announcing the result.
8!
28
82
7!
- 11. Multiple Choice
A question paper consists of two sections each containing 6 multiple choice questions. Each question of the first section has 3 choices and each question of the second section has 2 choices. In how many different ways can a student answer the question paper?
63 × 62
6! × 2!
36 × 26
3! × 2! × 6
- 12. Multiple Choice
There are 6 routes from City A to City B, 11 routes from City B to City C. Find the number of different ways for a person to travel from City A to City C via City B.
66
17
5
6! × 11!
- 13. Multiple Choice
Find the negation of 'All doctors are male.'
None of the doctors are male.
All doctors are female.
There is a doctor, who isn't male.
There is a female doctor.
- 14. Multiple Choice
Find the negation.
- 15. Multiple Choice
What kind of a condition is B to A?
A: x is a prime number.
B: x is odd.
necessary and sufficient
not necessary, but sufficient
necessary, but not sufficient
not necessary and not sufficient
- 16. Multiple Choice
Which of the following is a proposition?
The cat ate the mouse.
Cats are beautiful.
Have you seen the cat?
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