Step-by-step Answer:
Customer is allowed to choose any five, where order does not count.
This means that there are 11 toppings to choose from for the first one, 10 for the second, 9 for the third, 8 for the fourth, and 7 for the last for a total of 11*10*9*8*7 = 11!/6! choices.
Since order does not count, we have over-counted by 5!, so the final answer should be 11!/(6!*5!) choices.
Mathematically, this number is represented by
C(11,5) = 11!/(6!5!) = 462, and is read
"Combination of 5 choices out of 11", or simply "11 choose 5".
Answer:
i belive it should be c my friend if not my math was off
Step-by-step explanation:
Answer:
Toner = $45.00; ink = $25.50
Step-by-step explanation:
Let T = the cost of a toner cartridge and I = the cost of an ink cartridge
We have two conditions:
(1) T = I + 19.50
(2) 4T + 11I = 460.50 Substitute (1) into (2)
4(I + 19.50) + 11I = 460.50 Remove parentheses
4I + 78.00 + 11I = 460.50 Combine like terms
15 I + 78.00 = 460.50 Subtract 78.00 from each side
15I = 382.50 Divide each side by 15
(3) I = 25.50
=====
Substitute (3) into (1)
T = 25.50 + 19.50
T = 45.00
=====
<em>Check:
</em>
(1) 45.00 = 25.50 + 19.50
45.00 = 45.00
(2) 4×45.00 + 11×25.50 = 460.50
180.00 + 280.50 = 460.50
460.50 = 460.50
Answer:
IM NOT SURE BUT DO U GO TO GEM PREP
Step-by-step explanation:
1/36 for the first need the questions for the second