Variations + exponentiation - practice problems
Number of problems found: 10
- Cube construction
A 2×2×2 cube will be constructed using four white and four black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. ) - Boys and girls
There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that: a) only boys went on the field trip b) just 2 boys went on the field trip - Notation 7014
There is no 0 in the decimal notation in natural numbers, and there are even numbers or odd numbers, each at least once. Find the number of all k-digit natural numbers. - Disembarked 5962
Twenty-two passengers boarded in Žilina. Everyone gradually disembarked on the Teplička, Strečno, Vrútky, and Martin lines (the wagon was already empty in Martin). How many ways could they come out? - Probability 5077
They have four types of cakes in the patisserie. Anna always buys two at a time. What is the probability that he will get two spikes today? - Area codes
How many 6 digit area codes are possible if the first number can't be zero? - No. of divisors
How many different divisors have number 13 4 * 2 4? - Subsets
How many are all subsets of set C = (97, 67, 66, 18, 59, 64)? - Bits, bytes
Calculate how many different numbers can be encoded in a 16-bit binary word. - Morse alphabet
Calculate how many words of Morse code to create compiling dashes and dots in the words of one to four characters.
We apologize, but in this category are not a lot of examples.
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