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Question
The no of ways of selecting at least one letter from the letters of the word PROPORTION is
The no of ways of selecting at least one letter from the letters of the word PROPORTION is
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Solution
The correct option is B 287
Letters
P
R
O
T
I
N
Frequency
2
2
3
1
1
1
Thus required no. of ways =(2+1)(2+1)(3+1)(1+1)(1+1)(1+1)−1=3.3.4.2.2.2−1=287
1 is to be subtracted because there will be one case in which no letter is selected
| Letters | P | R | O | T | I | N |
| Frequency | 2 | 2 | 3 | 1 | 1 | 1 |
Thus required no. of ways =(2+1)(2+1)(3+1)(1+1)(1+1)(1+1)−1=3.3.4.2.2.2−1=287
1 is to be subtracted because there will be one case in which no letter is selected
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