Mathematics · JEE

Online Practice: Meaning of P(n,r) and C(n,r) for JEE

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Q1MathsUnit 4: Permutations and Combinations

Arrange the following values of

n

in ascending order.

\boldsymbol{A}:^{n} \boldsymbol{P}_{5}=^{n} \boldsymbol{P}_{6} \Rightarrow \boldsymbol{n}=

\boldsymbol{B}:^{\boldsymbol{n}} \boldsymbol{P}_{12}=^{\boldsymbol{n}} \boldsymbol{P}_{\boldsymbol{8}} \Rightarrow \boldsymbol{n}=

\boldsymbol{C}:^{n} \boldsymbol{C}_{(\boldsymbol{n}-\mathbf{3})}=\mathbf{1 0} \Rightarrow \boldsymbol{n}=

\boldsymbol{D}:^{(\boldsymbol{n}+1)} \boldsymbol{P}_{5}:^{\boldsymbol{n}} \boldsymbol{P}_{6}=\mathbf{1}: \boldsymbol{2} \Rightarrow \boldsymbol{n}=

Q2MathsUnit 4: Permutations and Combinations

r>1,

then

\frac{n P_{r}}{n C_{r}}

is This question has multiple correct options

Q3MathsUnit 4: Permutations and Combinations

^{n} \boldsymbol{P}_{r}=\mathbf{3 0 2 4 0}

and

^{n} \boldsymbol{C}_{r}=\mathbf{2 5 2},

then the ordered pair

(n, r)

is equal to:

Q4MathsUnit 4: Permutations and Combinations

^{n} C_{3}=^{n} C_{9},

then

^{n} C_{2}=

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