NEW
Font size
WorksheetsSTA108-Fundamentals of Counting Rule
Total questions: 20
Worksheet time: 3hrs 4mins
The Palace of Pizza offers small, medium, or large pizzas with 14 different toppings available. How many different 1-topping pizzas do they serve?
3 x 14 = 42
3 + 14 = 17
14 x 14 x 14 = 2744
14 x 13 x 12 = 2184
The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?
4 x 4 x 4 x 4 = 256
4 x 3 x 2 x 1 = 24
4 + 4 + 4 + 4 = 16
4 + 3 + 2 + 1 = 10
A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be ordered if each has a main dish, a salad, and a dessert?
5 x 3 x 4 = 60
5 + 3 + 4 = 12
An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream. A customer gets to choose a cone and a type of ice cream. How many EVENTS are described here?
1
2
3
93
In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
32
48
36
120
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
64
98
43
22
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
564
645
735
756
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
360
480
720
504
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
63
90
126
45
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
42000
48000
50400
47200
There are 8 men and 10 women and you need to form a committee of 11 person. In how many ways can the committee be formed?
11760
10420
18
31824
In how many ways can 11 persons be arranged in a row such that 3 particular persons should always be together?
9!
11! × 3!
9!×3!
1!
A company has 11 software engineers and 7 civil engineers. In how many ways can they be seated in a row so that all the civil engineers do not sit together?
18P4 × 11
18! - (12! × 7!)
18P4 - 2!
18! - (11! × 7!)
How many signals can be made using 6 different coloured flags when any number of them can be hoisted at a time?
2020
1720
1956
1822
A box contains 20 balls. In how many ways can 8 balls be selected from the box?
27C8
20C8
20C7
None of these answers
