This question is based on combinations
Out of 7 appetizers, 4 are to be selected, this becomes = 7C4
Out of 3 main courses, 2 are to be selected , this is = 3C2
Out of 5 desserts, 4 are to be selected, this is = 5C4
So, total ways become =
7C4 * 3C2 * 5C4
7!/4!(7-4)! * 3!/2!(3-2)! * 5!/4!(5-4)!
= 35*3*5 =525 ways
Hence, this can be done in 525 ways.
all you have to do is 524 times 2 and then add m3
Answer: 450 Minutes
Step-by step explanation:
135-x)/5 = hours connie runs
x/7 = hours Bonnie runs
(135-x)/5 + x/7 = 24
135-x + 5x/7 = 120
945-7x+5x = 840
-2x = -105
x = 52.5 miles = distance of Bonnie
52.5 miles / 7 m/hr = 7.5 hours = 450 minutes