The number of arrangements of 6 different colored balls is 6! = 720.

The number of ways to arrange 6 people in a round table is (6-1)! = 5! = 120.

Treat the two specific people as one unit. Then, we have 5 units to arrange: 5! = 120. The two people can be arranged in 2! ways. Total = 120 * 2 = 240.

Treat the 2 specific books as one unit. Then, arrange 6 units: 6! * 2! = 1440.

The number of ways to form a committee is C(8,3) = 56.

The number of arrangements is 6! / (3!) = 20.

The number of ways to choose 2 fruits from 5 is C(5, 2) = 5! / (2! * (5-2)!) = 10.

The number of ways to select 3 shirts from 7 is C(7, 3) = 35.

The number of ways to select 4 cards from 52 is C(52, 4) = 270725.

Product B sales in Q1 were 600 and in Q2 were 900. The increase is 900 - 600 = 300.

Sales for Product B increased from $1500 in Q1 to $3000 in Q2, an increase of $1500.

Product B sold $4000 while Product A sold $3000 in the third quarter, so Product B sold $1000 more.

Amount = P(1 + r/n)^(nt) = 3000(1 + 0.07/1)^(1*4) = 3000(1.3107961) = 3932.39

All numbers are multiples of 3 except 27, which is not part of the even multiples.

All numbers are odd except 1, which is not considered an odd number in this context.

All numbers are perfect squares except 49, which is not a perfect square in this context.

10% is the odd one out as it is the only percentage that is less than 30%.

20% is the odd one out as it does not fit the pattern of increasing by 3%.

Total Amount = 1200(1 + 0.10)^3 = 1200(1.331) = 1597.20

Amount = P(1 + r/n)^(nt) = 1500(1 + 0.04/1)^(1*2) = 1500(1.0816) = 1624.00

Total Amount = P(1 + r/n)^(nt) = 1500(1 + 0.04/1)^(1*2) = 1500(1.0816) = 1624.00

Total Amount = P(1 + r/n)^(nt) = 1500(1 + 0.04/1)^(1*5) = 1500(1.2166529) = 1824.98

Amount = P(1 + r)^n = 2000(1 + 0.06)^3 = 2000(1.191016) = $2380.03

Amount = P(1 + r/n)^(nt) = 2500(1 + 0.08/1)^(1*3) = 2500(1.259712) = 2975.00

Amount = P(1 + r)^n = 5000(1 + 0.04)^10 = 5000(1.48024) = $7401.20.

Total Amount = 8000(1 + 0.03)^4 = 8000(1.12550881) = 9009.12

0.4 = 4/10 = 2/5 after simplification.

Water = 15%, Milk = 100% - 15% = 85%. Ratio of milk to water = 85:15 = 17:3 = 6:1.

Let the number be x. Then, 0.15x = 45. Therefore, x = 45/0.15 = 300.

Alcohol = 60% of 20 liters = 0.6 * 20 = 12 liters.