Advertisements
Advertisements
प्रश्न
Find the value of `""^15"C"_4 + ""^15"C"_5`
Advertisements
उत्तर
`""^15"C"_4 + ""^15"C"_5`
= `""^15"C"_5 + ""^15"C"_4`
= `""^15"C"_5 + ""^15"C"_(5-1)`
= `""^16"C"_5` .......`[∵ ""^"n""C"_"r" + ""^"n""C"_"r - 1" = ""^("n" + 1)"C"_"r"]`
= 4368
APPEARS IN
संबंधित प्रश्न
If `""^"n""P"_"r" = 1814400` and `""^"n""C"_"r"` = 45, find r.
Find the number of diagonals of an n-shaded polygon. In particular, find the number of diagonals when: n = 15
Find the number of triangles formed by joining 12 points if no three points are collinear,
Find n, if `""^(2"n")"C"_("r" - 1) = ""^(2"n")"C"_("r" + 1)`
Find n, if `""^"n""C"_("n" - 2)` = 15
Nine friends decide to go for a picnic in two groups. One group decides to go by car and the other group decides to go by train. Find the number of different ways of doing so if there must be at least 3 friends in each group.
Find r if 14C2r : 10C2r–4 = 143 : 10
Find n and r if nPr = 720 and nCn–r = 120
There are 20 straight lines in a plane so that no two lines are parallel and no three lines are concurrent. Determine the number of points of intersection
Find n if 23C3n = 23C2n+3
In how many ways can a boy invite his 5 friends to a party so that at least three join the party?
A committee of 10 persons is to be formed from a group of 10 women and 8 men. How many possible committees will have at least 5 women? How many possible committees will have men in majority?
Five students are selected from 11. How many ways can these students be selected if two specified students are not selected?
Answer the following:
30 objects are to be divided in three groups containing 7, 10, 13 objects. Find the number of distinct ways for doing so.
A student passes an examination if he secures a minimum in each of the 7 subjects. Find the number of ways a student can fail.
Answer the following:
Find the number of ways of dividing 20 objects in three groups of sizes 8, 7 and 5
Answer the following:
Four parallel lines intersect another set of five parallel lines. Find the number of distinct parallelograms formed
If 'n' is positive integer and three consecutive coefficient in the expansion of (1 + x)n are in the ratio 6 : 33 : 110, then n is equal to ______.
