$^n{C_r}{ + ^n}{C_{r - 1}}$ is equal to
$^{n + 1}{C_r}$
$^n{C_{r + 1}}$
$^{n + 1}{C_{r + 1}}$
$^{n - 1}{C_{r - 1}}$
(a)It is a fundamental property
In how many ways can a student choose a programme of $5$ courses if $9$ courses are available and $2$ specific courses are compulsory for every student?
The number of ways, $16$ identical cubes, of which $11$ are blue and rest are red, can be placed in a row so that between any two red cubes there should be at least $2$ blue cubes, is
If $^{10}{C_r}{ = ^{10}}{C_{r + 2}}$, then $^5{C_r}$ equals
A committee of $7$ has to be formed from $9$ boys and $4$ girls. In how many ways can this be done when the committee consists of:
at least $3$ girls?
A group consists of $4$ girls and $7$ boys. In how many ways can a team of $5$ members be selected if the team has no girl?
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