Answer: 1) 5040 and 2) 165
Step-by-step explanation:
1) Here total number of letters = 10
The number of permutations that can be formed using 4 letters at a time
= P (10, 4)
= 
= 
= 
= 
= 10 × 9 × 8 × 7
= 5040
2) Here the total number of machine = 11
The different combinations of machines can Geoff choose from to use
= 
= 
= 
= 
= 11 × 5 × 3
= 165
Answer:
Delia started working at 9:50 A.M.
Step-by-step explanation:
We are given that:
Delia worked for 45 minutes on her oil painting.
She took a break at 10:35 A.M.
We have to determine at what time Delia start working on the painting.
35 minutes before 10:35 A.M. is 10 A.M.
Now, 45-35=10 minutes are left
now 10 minutes before 10 A.M. is 9:50 A.M.
Hence, Delia started working at 9:50 A.M.
-2/3 is -.66 repeating so a line over the six's