The value of $^{15}C_{3} + ^{15}C_{13}$ is

From $5$ consonants and $5$ vowels,how many words can be formed using $3$ consonants and $2$ vowels?

In a touring cricket team,there are $16$ players in all,including $5$ bowlers and $2$ wicket-keepers. How many teams of $11$ players can be chosen from these,such that the team includes exactly $3$ bowlers and $1$ wicket-keeper?

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 must be included.

The value of $\frac{{}^{10}C_{r}}{{}^{11}C_{r}}$,when both the numerator and denominator are at their greatest values,is

The number of ways to distribute $25$ identical apples among $4$ boys,such that each boy receives at least $4$ apples,is