How many ways can 10 student be divided into three team one containing 4 student and the other 3
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In how many number of ways can 10 students be divided into three teams,one containing four students .
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C(n,r)=n!r!(n−r)!
Total no. of students =10
Total no. of teams =3
Required no. of ways =10C4×6C3×3C32!
10C4=10!4!6!
⇒10×9×8×7×6!4×3×2×6!=210
6C3=6!3!3!
⇒6×5×4×3!3!0!=1
⇒210×20×12
⇒2100
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