Home
Class 11
MATHS
There are 10 different books. If m denot...

There are 10 different books. If m denotes the number of ways of selecting 3 books when no two of them are consecutive and n denotes the corresponding figure when exactly two are consecutive then (A) `8m=7n` (B) `6m=5n` (C) `7m=5n` (D) `m=n`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let P_n denotes the number of ways of selecting 3 people out of n sitting in a row, if no two of them are consecutive and Q_n is the corresponding figure when they are in a circle. If P_n- Q_n= 6, then 'n' is equal to 7 (B) 8 (C) 9 (D) 10

There are 10 different books in a shelf. The number of ways in which three books can be selected so that exactly two of them are consecutive is

There are 10 different books in a shelf. The number of ways in which three books can be selected so that exactly two of them are consecutive is

There are 10 different books in a shelf. The number of ways in which three books can be selected so that exactly two of them are consecutive is

Let P_(n) denotes the number of ways of selecting 3 people out of 'n' sitting in a row, if no two of them are consecutive and Q_(n) is the corresponding figure when they are in a circle. If P_(n) – Q_(n) = 6, then 'n' is equal to

A book store has m copies each of n different books. Find the number of ways of arranging these books in a shelf.

A coin is tossed (m+n) xx,(m>n). Find the probability of getting exactly m consecutive heads.

A coin is tossed (m+n) xx,(m>n). Find the probability of getting exactly m consecutive heads.

If 'n' things are arranged in circular order, then show that the number of ways of selecting four of the things no two of which are consecutive is (n(n-5)(n-6)(n-7))/(4!)

If m denotes the number of 5 digit numbers if each successive digits are in their descending order of magnitude and n is the corresponding figure, when the digits are in their ascending order of magnitude then (m-n) has the value (