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.
Answer:
24/10 = 12/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Fraction of fish ate on first day = 2/6
fraction of fish ate on second day = 2/4
In case of comparison of rational numbers if the numerators of two rational numbers is same and the denominators are different, then the number having larger denominator is less than the number having smaller denominator.
So, the number 2/6 < 2/4
So, the fraction of fish ate on the first day is less than the amount of fish ate on te second day.
Answer: Y=1/8
Slope m=0, b =1/8
Step-by-step explanation: