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Question

The number of ways in which any four letters can be selected from the word 'CORGOO' is :

A
15
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B
11
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C
7
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D
None of these
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Solution

The correct option is C 7
Since there are three O's. Atleast one 'O' shoilf be there in the selected four letters.
Hence there are three cases:
Case1: Only one O is present
Number of Selections = 1 (Since we have to select all three remaning letters)
Case2: Two O's
Number of Selections = 3 (two of the remaining 3 letters have to be selected)
Case3: Three O's
Number of Selections = 3 (one of the remaining 3 letters have to be selected)

Therefore total number of selections is 1+3+3=7

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