Answer:
3003 different groups of 6tops
Step-by-step explanation:
Using the combination formula, generally, when selecting r number of objects out of a pool of n numbers, this can be done in nCr number of ways.
nCr = n!/(n-r)!r!
If there are 14 tops I'd like to purchase and I can only afford six, the number of ways I can choose this six at random from the 14tops can be done in 14C6 number of ways.
14C6 = 14!/(14-6)!6!
14C6 = 14!/8!6!
14C6 = 14×13×12×11×10×9×8!/8!×6×5×4×3×2
14C6 = 14×13×12×11×10×9/6×5×4×3×2
14C6 = 14×13×12×11/8
14C6 = 3003ways
