00:01
Consider that a catering service, a catering service offers, offers seven appetizers, appetizers, eight main courses, eight main courses and six desserts, six desserts.
00:37
A banquet hall or banquet committee, a banquet committee, committee, banquet committee is to select, is to select three appetizers, three appetizers, six main courses, six main courses and five desserts.
01:18
Now we have to find out in how many ways this can be done, in how many ways this can be, this choice can be done, how many ways.
01:31
So this kind of choice can be made.
01:33
So the, how many available services are there, first we need to go for each, each quantity or each item.
01:45
So appetizers, first we will do how many we can, we can choose, choose three appetizers, three appetizers from seven available appetizers in 7c3 ways.
02:18
That means availability are seven and we need to choose among them in 7c3 ways.
02:25
Ncr formula is n factorial by r factorial by into n minus r factorial.
02:34
This is the nc3 ways formula, nc3 formula.
02:39
So this 7c3 is equal to 7 factorial by 3 factorial, 7 minus 3 factorial...