Distributing same key numbers
Solution:
Number of times a die is rolled = 20
1 - 3=A
2 - 5=B
3 - 4=C
4 - 2=D
5 - 3=E
6 - 3=F
Total number of arrangements of outcomes , when a dice is rolled 20 times given that 1 appear 3 times, 2 appears 5 times, 3 appear 4 times, 4 appear 2 times , 5 appear three times, and 6 appear 3 times
= Arrangement of 6 numbers (A,B,C,D,E,F) in 6! ways and then arranging outcomes
= 6! × [ 3! × 5! × 4!×2!×3!×3!]
= 720 × 6×120×24×72→→[Keep in Mind →n!= n (n-1)(n-2)(n-3)........1]
= 895795200 Ways
Answer:
8:02 AM
Step-by-step explanation:
Find out how many minutes it takes to travel one mile:
60 divided by 45= 1.333334 minutes
It takes 1.333334 minutes to travel 1 mile, how long will it take to travel 100 miles:
1.333 times 100 = 133.3334
133.3334 rounds to 133 minutes
Add 15 minutes because you want to arrive early
133+15=148
Divide it by 60
148 divided by 60 = 2.466667
or do
148-120 (2 hours) = 28 minutes
It will take 2 hours and 28 minutes to get there
10:30-2:28= 8:02
A) The coordinates of R is (-8,9)
B) The length of RS to the nearest tenth of a unit is 17.9