Question

Suppose you have a collection of 24 candles. There are 6 candles each of 4 different colors, and they are identical in every other way.
How many different ways can 6 candles be chosen?

Answer 1

Answer:

=84

Step-by-step explanation:

If we have n types of elements and we have to choose r elements from then, then we have C(n+r-1, r) r-combinations.

To choose 6 different candles,

n=4(4 types of candles), r=6(no of candles to pick)

=C(4+6-1,6)

=C(9,6)

= 9! / (9-6)! (6!)

= 9!/ 6! 3!

=84