Hey there everyone!
I have some fun questions from combinatorics and probability so whoever feels like solving them, I´d be much obliged : )
Combinatorics:
1.) How many 4 digit numbers can we get from combining the following numbers: 0, 1, 2, 3 and 4 if each number can occur max 3 times in the 4 digit number?
2.)
That right there is a question mark, not number 2 : )
In the first problem I was thinking like:
First digit, I can use 4 numbers since number can´t start with zero.
Second digit, I can use all 5.
Third digit, again I can use all 5.
Last digit, I cant use the number that is on the first 3 digits in case the final number looks like this for example 111x that leaves me with 4 more options + zero so 5 options for the last digit but 4x5x5x5 isn´t the right answer.
And for the second I just really dont know.
if this is true and this is true
how am I supposed to solve that for those 3 numbers?
And now the probability.
Probability:
2.) If we throw one dice six times, what is the probability that the first three times we throw it, we won´t get any 6s and the next three times we throw it, we will get exactly one 6?
3.) There are 24 students in the class. 10 of them didn´t do their homework. The teacher will randomly pick 5 students and check whether they have done their homework or not.
What is the probability that 2 from the 5 students the teacher is checking didn´t do their homework?
I have some fun questions from combinatorics and probability so whoever feels like solving them, I´d be much obliged : )
Combinatorics:
1.) How many 4 digit numbers can we get from combining the following numbers: 0, 1, 2, 3 and 4 if each number can occur max 3 times in the 4 digit number?
2.)
That right there is a question mark, not number 2 : )In the first problem I was thinking like:
First digit, I can use 4 numbers since number can´t start with zero.
Second digit, I can use all 5.
Third digit, again I can use all 5.
Last digit, I cant use the number that is on the first 3 digits in case the final number looks like this for example 111x that leaves me with 4 more options + zero so 5 options for the last digit but 4x5x5x5 isn´t the right answer.
And for the second I just really dont know.
And now the probability.
Probability:
2.) If we throw one dice six times, what is the probability that the first three times we throw it, we won´t get any 6s and the next three times we throw it, we will get exactly one 6?
3.) There are 24 students in the class. 10 of them didn´t do their homework. The teacher will randomly pick 5 students and check whether they have done their homework or not.
What is the probability that 2 from the 5 students the teacher is checking didn´t do their homework?