Answer: 8648640 ways
Step-by-step explanation:
Number of positions = 7
Number of eligible candidates = 13
This can be done by solving the question using the combination Formula for selection in which we use the combination formula to choose 7 candidates amomg the possible 13.
The combination Formula is denoted as:
nCr = n! / (n-r)! * r!
Where n = total number of possible options.
r = number of options to be selected.
Hence, selecting 7 candidates from 13 becomes:
13C7 = 13! / (13-7)! * 7!
13C7 = 1716.
Considering the order they can come in, they can come in 7! Orders. We multiply this order by the earlier answer we calculated. This give: 1716 * 7! = 8648640
Answer
No missing money
Step-by-step explanation:
Original money given to the waiter = $30
Each person paid $10
The waitress comes back with the waitress comes back and said the bill is $25
They gave her $2 for the tip
if each got $1.00 back
Balance = $1.00 × 3
= $3.00
That means each paid $9×3 = $27 including $2 .00 tip(recall that cost of the meal is now $25 plus $2 tip)
Each of them got $1.00 back
Total money spent = (cost of meal + tip) + balance of $3.00 given to them
= $27 + $3
= $30
Therefore, there is no missing $1.00
Answer:
About 947 hours, walking at 5 km (3 miles)/hour.
Walking 8 hours /day [at that pace you would need to be an Olympic Athlete to keep up the pace] it will take about four months.
Walk slower, it will take longer.
Answer:
8. x = 16
9. x = 10
14.
m ∠RSU = 130°
m ∠UST = 50°
15.
m ∠RSU = 124°
m ∠UST = 56°
Step-by-step explanation:
8.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is , (x + 15)° = 31°
x = 31 - 15 = 16
9.
Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF
That is ,
(6x - 4)° = 56°
6x = 56 + 4
6x = 60
x = 10
14.
13x + 5x = 180° [straight line angles ]
18x = 180
x = 10
m ∠RSU = 130°
m ∠UST = 50°
15.
4x + 12 + 2x = 180° [ straight line angles]
6x = 180 - 12
6x = 168
x = 28
m ∠RSU = 4(28) + 12 = 112 + 12 = 124°
m ∠UST = 2(28) = 56°
