Math Question

<p>1) set A: (a,e,i) set B: (j,m,r,t)</p>

<p>Different 3-letter sequences are made from the letters in set A and set B above. How many such sequences are possible that start with a letter from set A followed by a letter from set B and that end with a letter from either set A or B ?</p>

<p>A)7
B)12
C)24
D)36
E)84</p>

<p>You have 3 choices for the first letter, 4 for the second and 7 for the third.</p>

<p>3 x 4 x 7 = 84.</p>

<p>I am assuming you are allowed to repeat letters. But they should have said so clearly. If you are not allowed to repeat, then its </p>

<p>3 x 4 x 5 = 60. But since that’s not an answer choice, I know they meant repeats are allowed. Still, should have said…</p>