00:01
In this question we are asked the number of different ways to distribute six chocolate bars, seven liquorice sticks and 12 pixie sticks among five trick or treaters.
00:11
And in the first part of the problem, we have to find the number of ways without restriction.
00:16
So here, the number of ways is given by the combination six five, sorry, six c5 because there are six chocolate bars, multiplied by seven c5 for seven liquor.
00:34
Xxxxx, multiplied by 12c5 because there are 12 pixie sticks.
00:41
Thus, in the next step, we get 6 factorial divided by 5 factorial, multiplied by 1 factorial, multiplied by 7 factorial divided by 5 factorial, multiplied by 2 factorial, and multiplied by 12 factorial divided by 5 factorial, multiplied by 7 factorial.
01:08
And on solving this we get its value equal to 99 ,792...