Question
The value of 50C4 + 
is -
- 55C4
- 55C3
- 56C3
- 56C4
Hint:
By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Here we have to find the value of 50C4 + .
The correct answer is: 56C4
A permutation is the non-replaceable selection of r items from a set of n items in which the order is important.
A combination is created by selecting r items from a group of n items without replacing them and without regard to their order.
Here we have given:
The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is 
.
Related Questions to study
The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is-
The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is 21.
The number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes is empty is-
The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is 21.
A mass of 
strikes the wall with speed 
at an angle as shown in figure and it rebounds with the same speed. If the contact time is 
, what is the force applied on the mass by the wall
A mass of strikes the wall with speed at an angle as shown in figure and it rebounds with the same speed. If the contact time is , what is the force applied on the mass by the wall
If the locus of the mid points of the chords of the ellipse 
, drawn parallel to 
is 
then 
If the locus of the mid points of the chords of the ellipse , drawn parallel to is then
If nCr denotes the number of combinations of n things taken r at a time, then the expression nCr+1 + nCr –1 + 2 × nCr equals-
The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is 
.
If nCr denotes the number of combinations of n things taken r at a time, then the expression nCr+1 + nCr –1 + 2 × nCr equals-
The different ways in which items from a set may be chosen, usually without replacement, to construct subsets, are called permutations and combinations. When the order of the selection is a consideration, this selection of subsets is referred to as a permutation; when it is not, it is referred to as a combination. So the final answer is .
strikes a wall at an angle 
with the normal to the wall and returns back elastically. If the density of water is 
and its velocity is 
,then the force exerted in the wall will be
will
, respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at 
