Answer:
1,221,759 groups
Step-by-step explanation:
Total number of palettes = 10 + 15 + 20 = 45 palettes
Number of palettes chosen = 5 palettes
C (n,r) = n!/ r! (n-r)!
Where,
C, is the number of possible combinations
n, is the total number of palettes in the set
r, is the number of palettes chosen from the set
n = 45 palettes
r= 5 palettes
Therefore,
C = 45!/ 5! (45 - 5)!
C= 45!/ 5! (40)!
C = 45×44×43×42×41 / 5×4×3×2×1
C = 146611080/120
C = 1,221,759
Therefore there are 1,221,759 possible combinations of 5 palettes from the 45 palettes available.
