Originally Posted by
cnmath16 46. a) How many five-letter "words" (combinations of letters) can be formed from the word "March"?
Answer: 5! = 5 x 4 x 3 x 2 x 1
= 120 different words can be formed
b) In how many of these words are M and R together?
Answer:
0 letters in front = 2 x 1 x 3 x 2 x 1 = 12
1 letter in front = 3 x 1 x 1 x 2 x 1 = 12
2 letters in front = 3 x 2 x 2 x 1 x 1 = 12
3 letters in front = 3 x 2 x 1 x 2 x 1 = 12
Therefore there are 48 words where M and R will be together.
c) What is the probability of M and R not occurring together?
Answer:
48/120 = x/100
= 40% probability that they will be together
Therefore, there is a 60% probability that M and R won't be together