Home
Class 12
MATHS
Show that in the number of combinations ...

Show that in the number of combinations of 2n different things taken n at a time , the number of combinations in which a particular thing occurs , is equal to the number in which it does not occur .

Promotional Banner

Similar Questions

Explore conceptually related problems

What is the total number of combination of n different things taken 1, 2, 3,...,n at a time ?

The number of combinations of n different of n different things taken r at a time in which p particular things never occur is -

If the number of combinations of n different things taken (r+r) at a time be equal to the number of combinations taken (r-r) at a time , find the value of n.

The number of combinations of n different things taken r at a time in which p particular things always occur is -

If the number of permutations of n different things taken 4 at a time in which one particular thing does not occur is equal to that in which it does occur,find n .

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.

(i) If the number of permutations of n different thing taken r at a time be denoted by (nPr) Show that,

Find the number of permutations of n different things taken r at time so that m(ltr) particular things will always occur