Variations - practice problems

Number of problems found: 239

Four digit codes
Given the digits 0-7. If repetition is not allowed, how many 4 digit codes that are greater than 2000 and divisible by 4, are possible?
Indistinguishable 74294
We have eight compartments where we put three indistinguishable balls and two distinguishable ones. How many options do we have?
Four numbers
I am four-digit number, no zeros, in which the first number is five times the last, the second is four more than the first and three times the third, and the third is two more than the last and two less than the first.
Four-digit 73114
How many four-digit numbers can we assemble from the digits 2, 6, 3, 5, 1, and 9 if the numerals in the number cannot be repeated?
T-shirts 73074
Dušan has 8 T-shirts and three pairs of shorts in his closet. How many ways can he dress for school?
Parking 72644
How many ways can ten cars park side by side in a parking lot?
Probability 72324
We used the digits 2, 3, 4, 5, and 7 when entering the PIN code, and we only used each digit once. What is the probability that someone will guess our PIN code on the first try?
Groups 72194
I have eight groups. How could they place first, second and third?
Three-digit 72184
How many three-digit numbers can be created from the numbers 1, 2, 3, and 4 if you can repeat them?
Variations 70724
If we increase the number of elements by 2, the number of variations of the second class without repetition increases by 22. How many elements do we have initially?
Assemble 70414
How many ways can we assemble five wagons when sand is in three wagons and cement in two?
Classical 69634
Peter, Jano, Alice, and Rebecca went to a classical music concert. How many different ways can they sit in the four free seats if Rebecca wants to sit with John?
Michalovci 69494
How many different courses could the match between AC Michalovci and Juvent Turiec have, which ended 2: 1?
Competition 69474
There are ten girls and seven boys in the dance group. Only one mixed couple is to go to the competition. How many are all possible pairs from which we can choose a pair for the competition?
Arrangements 68764
We have two identical blue balls and two identical red balls. We arrange them in a row in all ways. How many different arrangements are there?
Probability 68594
What is the probability that any two-digit number a) is divisible by five, b) is not divisible by five?
Probability 68564
What is the probability that the number a) greater than 4, b) the number greater than four will fall on the dice roll?
Constructed 67424
There are six lines 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm long, two of each length. How many isosceles triangles can be constructed from them? List all options.
Gradually 67284
At the beginning of the summer holidays, Petra borrowed four books from the library. How many orders in which she could gradually read them?
Five-digit 66894
Create all five-digit numbers in ascending order from three, four, and two zeros.

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