LFM Stats And Pure

turkey-yks 2012 Q21 Selection with Group/Category Constraints View

A florist has roses of 5 different colors in large quantities and 2 types of vases. A customer wants to buy a total of 3 roses of 2 different colors and 1 vase.
In how many different ways can this customer make the purchase?
A) 15
B) 20
C) 25
D) 40
E) 50

turkey-yks 2012 Q22 Combinatorial Probability View

A bag contains 5 red and 4 white marbles.
When 3 marbles are drawn randomly from this bag at the same time, what is the probability that there are at most 2 marbles of each color?
A) $\frac { 2 } { 3 }$
B) $\frac { 3 } { 4 }$
C) $\frac { 5 } { 6 }$
D) $\frac { 7 } { 8 }$
E) $\frac { 8 } { 9 }$

turkey-yks 2013 Q28 Distribution of Objects to Positions or Containers View

All 5 different marbles are to be distributed among 3 siblings of different ages.
In how many different ways can this distribution be made such that the oldest sibling gets 1 marble and the other two each get at least one marble?
A) 45
B) 50
C) 60
D) 70
E) 75

turkey-yks 2014 Q14 Partitioning into Teams or Groups View

Four distinct marbles will be distributed to 3 siblings such that each sibling receives at least 1 marble.
In how many different ways can this distribution be done?
A) 24
B) 32
C) 36
D) 40
E) 48

turkey-yks 2015 Q13 Combinatorial Counting (Non-Probability) View

Let $\mathbf { A } = \{ \mathbf { a } , \mathbf { b } , \mathbf { c } , \mathbf { d } \}$. For non-empty subsets $X , Y$ of A
$$\begin{aligned} & X \cap Y = \emptyset \\ & X \cup Y = A \end{aligned}$$
How many ordered pairs (X, Y) are there such that these conditions hold?
A) 6
B) 8
C) 10
D) 12
E) 14

turkey-yks 2015 Q18 Subset Counting with Set-Theoretic Conditions View

$$\mathrm { X } \subseteq \{ \mathrm { a } , \mathrm {~b} , \mathrm { c } , \mathrm {~d} , \mathrm { e } \}$$
Given that, how many different subsets $X$ are there such that the number of elements in $\mathbf { X } \cap \{ \mathbf { a } , \mathbf { b } \}$ is 1?
A) 10 B) 12 C) 14 D) 16 E) 18

turkey-yks 2015 Q30 Selection with Group/Category Constraints View

A school's basketball team has a total of 8 players, two of whom are brothers. 5 of these players will be selected to be in the starting lineup.
In how many different ways can a selection be made such that both brothers are in this lineup?
A) 20 B) 24 C) 30 D) 36 E) 40

turkey-yks 2016 Q17 Set Operations View

Let N be the set of natural numbers. The sets
$$\begin{aligned} & C = \{ 2 n : n \in \mathbb { N } \} \\ & K = \left\{ n ^ { 2 } : n \in \mathbb { N } \right\} \end{aligned}$$
are given. Accordingly, which of the following is an element of the Cartesian product set
$$( \mathrm { K } \backslash \mathrm { C } ) \times ( \mathrm { C } \backslash \mathrm { K } )$$
?
A) $( 3,2 )$
B) $( 9,4 )$
C) $( 15,1 )$
D) $( 16,12 )$
E) $( 25,8 )$

turkey-yks 2017 Q14 Subset Counting with Set-Theoretic Conditions View

Let A be a subset of the set $\{ 1,2,3,4,5,6,7 \}$. $$A \cap \{ 5,6,7 \}$$ The elements of the set are odd numbers.\ Accordingly, how many three-element sets A satisfy this condition?\ A) 12\ B) 14\ C) 16\ D) 18\ E) 20

turkey-yks 2017 Q19 Handshake / Product Counting View

In a tournament with 8 teams, each team played against the other teams once. In the tournament, 3 referees were assigned from 4 available referees for each match, and all referees worked an equal number of matches.
Accordingly, how many matches did each referee work?
A) 14 B) 15 C) 18 D) 20 E) 21

turkey-yks 2018 Q15 Counting Arrangements with Run or Pattern Constraints View

If the arrangement of letters in a word from left to right is the same as from right to left, this word is called a palindrome word.
For example; NEDEN is a palindrome word.
Engin will create a 5-letter palindrome word using each of 3 distinct vowels and 4 distinct consonants as many times as he wants. In this word, two vowels should not be adjacent and two consonants should not be adjacent either.
Accordingly, how many different palindrome words can Engin create that satisfy these conditions?
A) 72 B) 84 C) 96 D) 108 E) 120

turkey-yks 2019 Q18 Subset Counting with Set-Theoretic Conditions View

Let A and B be non-empty sets consisting of digits. If
$$A \cap B = A \cap \{ 0,2,4,6,8 \}$$
equality is satisfied, then A is called the common-intersection set of B. Given that set A is the common-intersection set of
$$B = \{ 0,1,2,3,4 \}$$
how many different sets A are there?
A) 3
B) 7
C) 15
D) 31
E) 63

turkey-yks 2019 Q29 Distribution of Objects into Bins/Groups View

An airline has a total of 8 cabin crew members with different work experience for one morning and one evening flight to be performed.
Each of these employees will be on only one team, and two four-person flight teams will be formed from these employees such that the three most experienced employees are not on the same team.
Accordingly, in how many different ways can the morning and evening flight teams be formed?
A) 48
B) 54
C) 56
D) 60
E) 64

turkey-yks 2020 Q25 Selection and Task Assignment View

Between October 5, 2020 Monday and October 18, 2020 Sunday, including these two days, two meetings will be held on two different days within these 14 days.
If an arrangement is to be made such that at least one of the meetings is on a weekday, in how many different ways can this arrangement be made?
A) 70
B) 75
C) 80
D) 85
E) 90

turkey-yks 2021 Q29 Basic Combination Computation View

In a mathematics class, the teacher asks Veli to calculate in how many different ways 3 students can be selected, Yasin to calculate in how many different ways 5 students can be selected, and Zeynep to calculate in how many different ways 11 students can be selected from the students in the class. All three students calculated the requested numbers correctly.
Given that the numbers found by Yasin and Zeynep are the same positive integer, what is the number found by Veli?
A) 364 B) 560 C) 688 D) 816 E) 960

turkey-yks 2021 Q30 Finite Equally-Likely Probability Computation View

To access an internet site, users must select all unit squares containing car parts from the photograph divided into 9 unit squares below and click the confirm button.
Eda, who wants to access this site, randomly selected four different unit squares from this photograph and clicked the confirm button.
Accordingly, what is the probability that Eda can access this site?
A) $\frac{1}{15}$ B) $\frac{1}{36}$ C) $\frac{1}{56}$ D) $\frac{1}{84}$ E) $\frac{1}{126}$

turkey-yks 2023 Q29 Selection with Arithmetic or Divisibility Conditions View

In a course, the weekly lesson durations of 7 lessons, each with different lesson times, are given in the table below.

Lesson	Duration (hours)
Lesson 1	5
Lesson 2	4
Lesson 3	4
Lesson 4	5
Lesson 5	3
Lesson 6	5
Lesson 7	5

Aslı, who enrolled in this course, wants to take four different lessons such that the total weekly lesson duration is 17 hours.
Accordingly, in how many different ways can Aslı select the lessons she will take?
A) 8 B) 10 C) 12 D) 16 E) 18

turkey-yks 2024 Q29 Basic Combination Computation View

Duru observed that she was present in 45 of all three-person groups that could be formed from the students in her class.
Accordingly, in how many of all three-person groups that could be formed from the students in Duru's class is Duru not present?
A) 20
B) 35
C) 90
D) 105
E) 120

1
2
3
4
5
6
7
8
9
10
11

Load questions...

LFM Stats And Pure

Completing the square and sketching 80

Inequalities 215

Discriminant and conditions for roots 106

Solving quadratics and applications 106

Curve Sketching 295

Factor & Remainder Theorem 90

Polynomial Division & Manipulation 44

Binomial Theorem (positive integer n) 244

Function Transformations 65

Composite & Inverse Functions 249

Partial Fractions 22

Generalised Binomial Theorem 16

Generalised Binomial Theorem and Partial Fractions 3

Complex Numbers Arithmetic 283

Complex Numbers Argand & Loci 135

Permutations & Arrangements 276

Combinations & Selection 268

Measures of Location and Spread 233

Probability Definitions 413

Tree Diagrams 5

Principle of Inclusion/Exclusion 23

Independent Events 51

Conditional Probability 127

Discrete Probability Distributions 210

Binomial Distribution 107

Geometric Distribution 11

Hypergeometric Distribution 10

Negative Binomial Distribution 2

Modelling and Hypothesis Testing 38

Hypothesis test of binomial distributions 12

Data representation 29

Continuous Probability Distributions and Random Variables 30

Continuous Uniform Random Variables 15

Geometric Probability 28

Normal Distribution 96

Approximating Binomial to Normal Distribution 7

Sign Change & Interval Methods 74

Fixed Point Iteration 12