Number of ways in which 12 different balls can be divided into groups of 5, 4 and 3 balls are

\frac{12!}{5! 4!}

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\frac{12!}{5! 4! 3!}

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\frac{12!}{5! 4! 3! 3!}

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None of these

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Solution

The correct option is B $\frac{12!}{5! 4! 3!}$
$\frac{12!}{5! 4! 3!}$

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Similar questions

Q. Number of ways in which 12 different balls can be divided into groups of 5, 4 and 3 balls are

Q. In how many ways can 12 persons be divided into 3 group of 4 each .........................
Options are:
A)12!/4!*3
B)(12!*3!*3)/4!*3
C)12!
D)None of the above.

Q. There are 12 balls of which 4 are red, 3 black and 5 white: In how many ways can you arrange the balls so that no two white balls may occupy consecutive positions if All balls are considered to be different.

Q. I. The no.of ways of dividing 15 different objects into 3 equal groups is

\frac{15!}{5! 5! 5!}

II. The no.of ways in which 52 cards can be distributed among 4 persons equally is

\frac{52!}{(13)^{4} . 4!}

Which of the above statement is correct?

The number of groups that can be made from $5$ different green balls, $4$ different blue balls and $3$ different red balls, if at least $1$ green and $1$ blue ball is to be included?

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Select...

Number of ways in which 12 different balls can be divided into groups of 5, 4 and 3 balls are

The correct option is B 12!5!4!3!12!5!4!3!

The correct option is B $\frac{12!}{5! 4! 3!}$
$\frac{12!}{5! 4! 3!}$