A 8 year old boy has 6 different toys and wants to put them all in a straight line. In how many ways can this be done?

I would appreciate step by step, as I have no clue on how to solve. Thanks!

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Compare the cost of the bike trips from the two companies shown.for both the cost in a linear function of the number of days which statements is true

How do the definitions, properties, and postulates you've learned about line segments, parallel lines, and angles to define the shapes of polygons