Find the value of $P(65,2)$.

Important Questions on Permutations and Combinations

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 8 - Permutations and Combinations>EXERCISE 8.3>Q 1

Find the value of ${}^{7}P_5$.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 8 - Permutations and Combinations>EXERCISE 8.3>Q 1

Find the value of ${}^{10}P_3$.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 8 - Permutations and Combinations>EXERCISE 8.3>Q 2

Prove that ${}^{10}P_3={}^{9}P_3+3{}^{9}P_2$.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 8 - Permutations and Combinations>EXERCISE 8.3>Q 2

Prove that ${}^{n}P_n=2·{}^{n}P_{n-2}$.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 8 - Permutations and Combinations>EXERCISE 8.3>Q 2

Prove that $P(n, n)=P(n, n-1)$.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 8 - Permutations and Combinations>EXERCISE 8.3>Q 3

Find the value of $n$ if ${}^{n+1}P_3={}^{n}P_4$.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 8 - Permutations and Combinations>EXERCISE 8.3>Q 3

Find the value of $n$ if $3{}^{n}P_4=5{}^{n-1}P_4$.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 8 - Permutations and Combinations>EXERCISE 8.3>Q 3

Find the value of $n$ if ${}^{n}P_4=42{}^{n}P_2$.