Permutations and Combinations 1 Question 12
12. Consider all possible permutations of the letters of the word ENDEANOEL.
| Column I | Column II | ||
|---|---|---|---|
| A. | The number of permutations containing the word ENDEA, is |
p. | |
| B. | The number of permutations in which the letter E occurs in the first and the last positions, is |
q. | |
| C. | The number of permutations in which none of the letters D, L, N occurs in the last five positions, is |
r. | |
| D. | The number of permutations in which the letters A, E, O occur only in odd positions, is |
s. |
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Solution:
- A. If ENDEA is fixed word, then assume this as a single letter. Total number of letters
Total number of arrangements
B. If
C. If
Total number of permutations
D. Total number of odd positions
Permutations of AEEEO are
Total number of even positions
