Answer:
There are 604,800 possible permutations.
Step-by-step explanation:
The order in which the digits are chosen is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
In this question:
7 digits from a set of 10(10 digits to 0-9). So
There are 604,800 possible permutations.
Given:
The number of cycles is, <em>n</em> (s) = 7.
The number of wheels in the cycle is, <em>n </em>(sw) = 2.
The number of cars is, <em>n</em> (c) = 15.
The number of wheels in the car is, <em>n</em> (cw) = 4.
The obective is to find the total number of wheels.
The total number of wheels is,
Hence, there are 74 wheels in the block.
If there are <em>x</em> bicycles and <em>y </em>cars, the equatioin will be,
Hence, the number of wheels for x bicycles and y cars is 2x+4x.
