A class photograph has to be taken. The front row consists of $6$ girls who are sitting. $20$ boys are standing behind. The two corner positions are reserved for the $2$ tallest boys. In how many ways can the photograph be taken?

6! \times 1440

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18! \times 1440

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18! \times 2! \times 1440

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none of these

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Solution

The correct option is B $18! \times 1440$
Total number of boys $= 30$
Numberof boys can be arranged $= 18$
Thier arrangements $= 18!$
Total arrangements for boys $= 18! \times 2$
Girls arrangements $6! = 720$
Total number of photograph ways $= 18! \times 1440$

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A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behind. The two corner positions are reserved for the 2 tallest boys. In how many ways can the photograph be taken?

The correct option is B 18!×1440Total number of boys =30 Numberof boys can be arranged=18Thier arrangements=18!Total arrangements for boys=18!×2Girls arrangements 6!=720Total number of photograph ways =18!×1440

A class photograph has to be taken. The front row consists of $6$ girls who are sitting. $20$ boys are standing behind. The two corner positions are reserved for the $2$ tallest boys. In how many ways can the photograph be taken?

The correct option is B $18! \times 1440$
Total number of boys $= 30$
Numberof boys can be arranged $= 18$
Thier arrangements $= 18!$
Total arrangements for boys $= 18! \times 2$
Girls arrangements $6! = 720$
Total number of photograph ways $= 18! \times 1440$