QUESTION 7. Find the number of permutations of length 9 that satisfy the following conditions: (i) It contains four digits chosen from the set {1,2,3,4,5,6}. (ii) It contains all five letters A, B, C, D, E, such that the first occurrence (i.e., the leftmost ) of letters must be A, and the last occurrence (i.e., the right most) of letters must be E. For example, the following permutation satisfy these conditions: 2ADBCE416, A1C6DB2E3, 61AC5D2BE. The following permutation do not satisfy the conditions: BCDAE1234, (A is not the first letter), 2A1BC4ED3, (the last letter is not E), AB1234DE the length of permutataion is not 9. Select the correct response: A. 169344 D. 635040 I. none of above B. 241920 E. 469350 C. 272160 F. 376254

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QUESTION 7.
Find the number of permutations of length 9 that satisfy the following conditions:
(i) It contains four digits chosen from the set {1,2,3,4,5,6}.
(ii) It contains all five letters A, B, C, D, E, such that the first occurrence (i.e., the leftmost
) of letters must be A, and the last occurrence (i.e., the rightmost) of letters must be E.
For example, the following permutation satisfy these conditions:
2ADBCE416, A1C6DB2E3, 61AC5D2BE.
The following permutation do not satisfy the conditions:
BCDAE1234, (A is not the first letter), 2A1BC4ED3, (the last letter is not E),
AB1234DE the length of permutataion is not 9.
Select the correct response:
A. 169344
D. 635040
I. none of above
B. 241920
E. 469350
C. 272160
F. 376254
Transcribed Image Text:QUESTION 7. Find the number of permutations of length 9 that satisfy the following conditions: (i) It contains four digits chosen from the set {1,2,3,4,5,6}. (ii) It contains all five letters A, B, C, D, E, such that the first occurrence (i.e., the leftmost ) of letters must be A, and the last occurrence (i.e., the rightmost) of letters must be E. For example, the following permutation satisfy these conditions: 2ADBCE416, A1C6DB2E3, 61AC5D2BE. The following permutation do not satisfy the conditions: BCDAE1234, (A is not the first letter), 2A1BC4ED3, (the last letter is not E), AB1234DE the length of permutataion is not 9. Select the correct response: A. 169344 D. 635040 I. none of above B. 241920 E. 469350 C. 272160 F. 376254
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