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Number of different groups of three equal size from 12 differe

Question

Number of different groups of three equal size from 12 different objects, is

12!

\frac{12 !}{( 4 ! ) ^{3}}

\frac{12 !}{3 ! ( 4 ! ) ^{3}}

none of these

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Text solutionVerified

Total no. of objects

= 12

No. of ways of arranging total no. of objectss

= 12!

For

1

group, no. of ways of arranging objects

= \frac{12}{3} = 4

students

= 4!

No. of ways of arranging objects in threedifferents groups

= 4! \times 4! \times 4!

∴

Total no. of ways

= \frac{12 !}{( 4 ! ) ^{3}}

Hence, this is the answer.

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Question Text	Number of different groups of three equal size from 12 different objects, is
Answer Type	Text solution:1
Upvotes	150