The manager of the soda shop decides that because you are a good customer, you may use a flavor as
many times as you’d like. How many different possible mixtures can you make now (remember, you
have 13 flavors available to you and you must choose 6)?
Answers
Answer:
1716
Step-by-step explanation:
the formula for combination is
nCr = n! / r! × (n-r) !
13C6 = 13 ! / 6! × (13-6)!
= 13! / 6! × 7!
= 13 × 12 × 11 × 10 × 9 × 8 × 7! / 6! × 7!
= 13 × 12 × 11 × 10 × 9 × 8 / 6 × 5 × 4 × 3 × 2 × 1
= 1716
Answer:
Let the initial velocity of the body be u m/s; and the constsnt acceleration be a m/s². Then displacemet (distance covered) of the body after t second is given by
s = u t + ½ a t² ———————————-(1)
The body covers 20 m in 2s and 80 m in 4 s.
20 = u×2 + ½ a 2²; => 20 = 2 u + 2 a
u + a = 10 —————————————(2)
80 = u×4 + ½ a 4²; => 80 = 4 u + 8 a; this gives,
u + 2 a = 20 ——————————————(3)
Solving (2) and (3) for u and a we get
u = 0 m/s and a = 10 m/s² ————————(4)
To obtain the distance covered in the next 4s we need to find the velocity at the beginning of this interval using,
v = u + a t => v = 0 m/s +1.....