Find the common denominator
It is 6
Multiply everything by 6
2/3*(6)= 4g
1/2 *(6)= 3g
14*(6)= 84
4g +3g = 84
7g= 84
g= 12
Answer:
all work is pictured and shown
Smallest number of cakes that each would have decorated is 18.
The total number of combinations without restrictions is
10 * 10 * 10 * 10 * 10 = 100000
Problem A
10 * 9 * 8 * 7 * 6 = 30240
the number of ways the combination can be set up with no repetition.
The probability of such an event is P = 30240 / 100000 = 0.3024
Problem B
The number of ways that can be done with repetition and no zeros is
9 * 9 * 9 * 9 * 9 = 59049
The probability of such an event is
P = 59049 / 100000 = 0.59049