Aman is distributing his coin collection with 35 coins to his five grandchildren. how many ways are there to distribute the coins if:
a. the coins are all the same
b. the coins are all distinct
c. the coins are the same and each grandchild gets the same number of coins.
d. the coins are all distinct and each grandchild gets the same number of coins.

a)

b)

c)

d)

Step-by-step explanation:

a) If the coins are all the same, we have a combination of 35 identical coins in 5 persons.

The amount of combinations is

being n the number of coins and r the number of grandchildren.

b) If the coins are different, the number of combinations can be calculated as:

c) If the coins are all the same, and each grandchild gets the same number of coins, there is only one combination for that (everyone gets 35/5=7 coins)

d)  If the coins are all distinct, but each of the grandchildren get the same numer of coins, the expression to calculate this is:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

i you goofed up when writing this, because hnot is not a word minusf is not either. i cannot answer   because of that.

step-by-step explanation: