Variations + multiplication principle - practice problems - last page
Number of problems found: 219
- Peak
Uphill leads 2 paths and one lift. a) How many options back and forth are there? b) How many options to get there and back by the not same path are there? c) How many options back and forth are there that we go at least once a lift? - Cars plates
How many different license plates can a country have since they use 3 letters followed by 3 digits? - Lock
A combination lock will open when the right choice of 3 numbers (from 1 to 16 inclusive) is selected. A. How many different lock combinations are possible? B. Is the combination lock named appropriately? - Coin and die
Flip a coin and then roll a six-sided die. How many possible combinations are there?
- Area codes
How many 6 digit area codes are possible if the first number can't be zero? - Vans
In how many ways can 5 shuttle vans line up at the airport? - Pairs
At the table sit 10 people, 5 on one side and 5 on the other side. Among them are 3 pairs. Every pair wants to sit opposite each other. How many ways can they sit? - No. of divisors
How many different divisors have number 13 4 * 2 4? - Toys
3 children pulled 9 different toys from a box. How many ways can toys be divided, so each child has at least one toy?
- 7 heroes
6 heroes galloping on 6 horses behind. How many ways can we sort them behind? - Subsets
How many are all subsets of set C = (97, 67, 66, 18, 59, 64)? - Flags
How many different flags can be made from green, white, blue, red, orange, yellow, and purple materials, so each flag consists of three different colors? - 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.
- Guests
How many ways can 8 guests sit down on 10 seats standing in a row? - 2nd class variations
From how many elements can you create 5112 variations of the second class? - Football league
In the 5th football league is 10 teams. How many ways can be filled first, second, and third place? - Chess
How many ways can you select 4 fields on a classic chessboard with 64 fields so that fields don't have the same color? - Seating
How many ways can 7 people sit on 5 numbered chairs (e. g., seat reservation on the train)?
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