This is a non replacement question, so each letter decreases by 1.
No vowels
The question actually starts right here. The preamble tells us that we can only use letters, no numbers, and no symbols. We are not asked to do anything. The first question makes no mention of there being anything special about m. It can be there or it most likely is not. This part of the problem is the first part.
First Part
I'm not going to deal with y. I will declare it to be a consonant.
There are 5 vowels. None of them can be chosen.
21 letters remain (including the m since it has not been limited in any way yet).
21 * 20 * 19 * 18 * 17
================
26 * 25 * 24 * 23 * 22
2441880 / 7893600
0.30934
Note: If your calculator has nPr on it, you can enter 21 nPr 5 to eliminate all the typing.
Second Part
No vowels and the first letter MUST be m
1 * 20 * 19 * 18 * 17/( 26 * 25 * 24 * 23 * 22)
116200/7893600 = 0.01473
Vowels and the first letter m.
1 * 25 * 24 * 23 * 22/ 7893600 = 0.03846
Answer:
Search google but the answer is (8.31×10-3) (9.9×10)-6
a. (2175 mi)/(18 mi/day) = 120.83... day ≈ 121 days
b. 120.83.../4 = 30.2083...
Joelle will hike 30 full days and one partial day.
I would say the best estimate would be 9 because the real answer is 8.71 and if you round that to the 1 place the answer would be 9.
