Answer: The correct number of balls is (b) 4.
Step-by-step explanation: Given that a single winner is to be chosen in a random draw designed for 210 participants. Also, there is an equal probability of winning for each participant.
We are using 10 balls, numbered through 0 to 9. We are to find the number of balls which needs to be picked up, regardless of order, so that each of the 210 participants can be assigned a unique set of numbers.
Let 'r' represents the number of balls to be picked up.
Since we are choosing from 10 balls, so we must have

The value of 'r' can be any one of 0, 1, 2, . . , 10.
Now,
if r = 1, then

If r = 2, then

If r = 3, then

If r = 4, then

Therefore, we need to pick 4 balls so that each participant can be assigned a unique set of numbers.
Thus, (b) is the correct option.
Let's start by calculating the number of steps Andre walked. He recorded that he can walk 6000 steps in 50 minutes, which means that he can walk 6000/50=120 steps per minute. 5 hours = 5*60 = 300 minutes. So Andre has walked 120 * 300 = 36 000 steps.
Priya writes the equation y=118x in which y is the number of steps and x is the number of minutes. As already stated, 5 hours = 300 minutes. So x = 300. We replace x by its value and we get y = 118x = 118*300 = 35400 steps.
36000>34500 so Andre has walked more steps than Priya.
Hope this helps! :)
The answer is C because. 4,000,000 is closest to <span>3,794,100</span>
You can find the x intercept by setting y to 0 and factor the equation.
0=2x^3+3x-2
0=(2x-1)(x+2)
We can make this equation =0 if x is -2 and 1/2.
So the x intercepts are (-2,0) and (0.5,0)