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Question
How many words (with or without dictionary meaning) can be made from the letters of the word MONDAY, assuming that no letter is repeated, if
| C1 | C2 |
| (a) 4 letters are used at a time | (i) 720 |
| (b) All letters are used at a time | (ii) 240 |
| (c) All letters are used but the first is a vowel | (iii) 360 |
Solution
| C1 | C2 |
| (a) 4 letters are used at a time | (i) 360 |
| (b) All letters are used at a time | (ii) 720 |
| (c) All letters are used but the first is a vowel | (iii) 240 |
Explanation:
(a) 4 letters are used at a time = 6P4
= `(6!)/(2!)`
= 360
(b) All letters are used at a time = 6P6
= 6!
= 720
(c) All letters are used but first letter is vowel = 2 × 5!
= 2 × 120
= 240
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