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Question

The no of ways of selecting at least one letter from the letters of the word PROPORTION is

A
288
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B
286
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C
289
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D
287
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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=3.3.4.2.2.21=287
1 is to be subtracted because there will be one case in which no letter is selected

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