A group of 9 students, s 1, s 2, ldots, s 9, | vedclass

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Question

$x$  $y$  $z$

$2$  $3$  $4$

$\overline{ S }_1$ & $\overline{ S }_2$

$C$-i) when $x$ does not contain $S _1$, but cont

Vedclass · Accepted Answer

$665$

Vedclass · Answer

$x$  $y$  $z$

$2$  $3$  $4$

$\overline{ S }_1$ & $\overline{ S }_2$

$C$-i) when $x$ does not contain $S _1$, but contains $S _2$

${ }_{	ext {for } x}^7 	imes \frac{7!}{3!4!}=245$

for $x$ for $y . z$

C-ii) When $x$ does not contain $S _1, S _2$ and $y$ does not contain $S _2$ i.e. ${ }^7 C _2 	imes \frac{6!}{3!3!}=420$

$	ext { forx fory. } z$

so total No. of ways $665$

A group of $9$ students, $s 1, s 2, \ldots, s 9$, is to be divided to form three teams $X, Y$ and, $Z$ of sizes $2,3$ , and $4$, respectively. Suppose that $s_1$ cannot be selected for the team $X$, and $s_2$ cannot be selected for the team $Y$. Then the number of ways to form such teams, is. . . .

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