Home
Class 12
MATHS
If some or all of n objects are taken at...

If some or all of n objects are taken at a time, then the number of combinations is `2^(n) - 1`.

Text Solution

Verified by Experts

The correct Answer is:
T
Promotional Banner

Similar Questions

Explore conceptually related problems

STATEMENT-1 :The total number of combinations of n thing by taking some or all is 2^(n) . STATEMENT -2 : 5 identical balls can be distributed among 10 identical boxes in only one way if not more than one ball can go into a box. STATEMENT-3 : In the permutations of n things taken r at a time , the number of permutations in which m particular things occur together is ""^(n - m)P_(r - m) * ""^(r)P_(m)

If the ratio of the total number of combinations of 2n different things to the total number of combinations of n different things is 1025:1 find n.

Prove that number of permutations of n distinct objects taken r at a time; when a particular onject is never taken in each a arrrangement is (n-1)P_(r)

The number of permulations of n different objects taken K at a time , when repetitions are allowed is

Prove that the no.of all permutations of n different objects taken r at a time when a particular object is to be always included in each arrangement is r.(n-1)P_(r-1)