Answer: 20
Step-by-step explanation:
If you can't have two toppings that are the same, you have a combination with 6 choose 3, which equals 6! / 3! (6-3)! = 20
Answer:
Their present age are 15 and 18
Step-by-step explanation:
a : b = 5 : 6
![\frac{a}{b} = \frac{5}{6} \\\\6a = 5b\\\\a = \frac{5b}{6} \\\\\frac{a-3}{b-3} = \frac{4}{5} \\\\5(a-3) = 4(b-3)\\\\5a - 15= 4b - 12\\\\5a - 4b = 15 - 12\\\\5a - 4b = 3\\\\substitute \ the \ value \ of \ a \ into \ the \ above \ equation;\\\\5(\frac{5b}{6} ) - 4b = 3\\\\25b - 24b = 18\\\\b = 18\\\\now, \ solve \ for \ a;\\\\a = \frac{5}{6} \times 18\\\\a = 15](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%20%3D%20%5Cfrac%7B5%7D%7B6%7D%20%5C%5C%5C%5C6a%20%3D%205b%5C%5C%5C%5Ca%20%3D%20%5Cfrac%7B5b%7D%7B6%7D%20%5C%5C%5C%5C%5Cfrac%7Ba-3%7D%7Bb-3%7D%20%3D%20%5Cfrac%7B4%7D%7B5%7D%20%5C%5C%5C%5C5%28a-3%29%20%3D%204%28b-3%29%5C%5C%5C%5C5a%20-%2015%3D%204b%20-%2012%5C%5C%5C%5C5a%20-%204b%20%3D%2015%20-%2012%5C%5C%5C%5C5a%20-%204b%20%3D%203%5C%5C%5C%5Csubstitute%20%5C%20the%20%5C%20value%20%5C%20of%20%5C%20a%20%5C%20into%20%5C%20the%20%5C%20above%20%5C%20equation%3B%5C%5C%5C%5C5%28%5Cfrac%7B5b%7D%7B6%7D%20%29%20-%204b%20%3D%203%5C%5C%5C%5C25b%20-%2024b%20%3D%2018%5C%5C%5C%5Cb%20%3D%2018%5C%5C%5C%5Cnow%2C%20%5C%20solve%20%5C%20for%20%5C%20a%3B%5C%5C%5C%5Ca%20%3D%20%5Cfrac%7B5%7D%7B6%7D%20%5Ctimes%2018%5C%5C%5C%5Ca%20%3D%2015)
Answer:
25
Step-by-step explanation:
= 3*3*3 + 3 - 5 = 27+3-5
27+3-5= 30-5
30-5=25
have a wonder full day