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Question

A guardian with 5 wards wishes everyone of them to study either graduation in Arts or Science or Engineering. The number of way she can make up her mind with regard to the education of his wards if everyone of them is fit for any of those branches of study is .............

A
5!
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B
243
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C
125
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D
81
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Solution

The correct option is C 243
1 ward can be put in 3 ways
2 wards can be put in 3 ways
... ... ... :
5 wards can be put in 3 ways
Total no. of ways =3×3×3×3×3×=243

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