Find the number of permutations of length 8 that satisfy the
following conditions:
(i) It contains three digits chosen from 0 to 8.
(ii) It contains the five letters A,B,C,D,E, so that the first
occurrence ( i.e.
leftmost) of the letters must be A, and the last occurrence (i.e.,
the most
on the right) of the letters must be E.
For example, the following permutations satisfy the
conditions:
2ADBCE40, A1CDB2E3, 60ACD9BE.
And the following permutations do not satisfy the conditions:
BCDAE123, in this permutation, A is not the first letter.
2A1CDEB3, in this permutation, E is not the last letter.
AB123DE, this permutation is not of length 8.
Choose the correct answer.
A.469350 B.272160
C.241920
D. 635040 E.
169344
F. No correct answer.