Easy
The least value of $n$ such that ${}^{(n-1)}C_6 + {}^{(n-1)}C_7 < {}^{n}C_8$ is
- A$14$
- B$15$
- C$16$
- D$17$
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Similar Questions
The number of $5$ card combinations out of a deck of $52$ cards such that there is exactly one ace in each combination is:
$\binom{n}{r+1} + 2\binom{n}{r} + \binom{n}{r-1} = \dots$
Easy
View SolutionIf $^{15}C_{3r} = ^{15}C_{r+3}$,find the value of $r$.
Medium
View Solution$^nC_r \div ^nC_{r-1} = $
Easy
View SolutionGiven $5$ different green toys,$4$ different blue toys,and $3$ different red toys,how many combinations of toys can be chosen taking at least one green and one blue toy?
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