Advertisements
Advertisements
प्रश्न
Answer the following:
Find the number of ways of dividing 20 objects in three groups of sizes 8, 7 and 5
उत्तर
Required number = 20C8 × 12C7 × 5C5
= `(20!)/(8!12!) xx (12!)/(7!5!) xx1`
= `(20!)/(8!7!5!)`
APPEARS IN
संबंधित प्रश्न
Find the value of 15C4
Find the value of `""^80"C"_2`
Find the value of `""^15"C"_4 + ""^15"C"_5`
Find the value of `""^20"C"_16 - ""^19"C"_16`
If 20 points are marked on a circle, how many chords can be drawn?
Ten points are plotted on a plane. Find the number of straight lines obtained by joining these points if no three points are collinear.
Find n, if `""^21"C"_(6"n") = ""^21"C"_(("n"^2 + 5)`
Find n, if `""^(2"n")"C"_("r" - 1) = ""^(2"n")"C"_("r" + 1)`
Find n, if `""^"n""C"_("n" - 2)` = 15
Find the differences between the largest values in the following: `""^15"C"_r "and" ""^11"C"_r`
Find n if 2nC3 : nC2 = 52 : 3
Find n and r if nCr–1 : nCr : nCr+1 = 20 : 35 : 42
Find the number of ways of drawing 9 balls from a bag that has 6 red balls, 8 green balls, and 7 blue balls so that 3 balls of every colour are drawn
Find the number of ways of selecting a team of 3 boys and 2 girls from 6 boys and 4 girls
If 20 points are marked on a circle, how many chords can be drawn?
Find the number of diagonals of an n-sided polygon. In particular, find the number of diagonals when n = 10
Find the number of diagonals of an n-sided polygon. In particular, find the number of diagonals when n = 15
Find the number of diagonals of an n-sided polygon. In particular, find the number of diagonals when n = 12
Ten points are plotted on a plane. Find the number of straight lines obtained by joining these points if no three points are collinear
Find n if nCn–2 = 15
Find r if 11C4 + 11C5 + 12C6 + 13C7 = 14Cr
Find the differences between the greatest values in the following:
15Cr and 11Cr
There are 3 wicketkeepers and 5 bowlers among 22 cricket players. A team of 11 players is to be selected so that there is exactly one wicketkeeper and at least 4 bowlers in the team. How many different teams can be formed?
Five students are selected from 11. How many ways can these students be selected if two specified students are selected?
Select the correct answer from the given alternatives.
The number of arrangements of the letters of the word BANANA in which two N's do not appear adjacently
Answer the following:
Ten students are to be selected for a project from a class of 30 students. There are 4 students who want to be together either in the project or not in the project. Find the number of possible selections
Answer the following:
A student finds 7 books of his interest but can borrow only three books. He wants to borrow the Chemistry part-II book only if Chemistry Part-I can also be borrowed. Find the number of ways he can choose three books that he wants to borrow.
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:
Four parallel lines intersect another set of five parallel lines. Find the number of distinct parallelograms formed
If `1/(8!) + 1/(7!) = x/(9!)`, than x is equal to ______.
Out of 7 consonants and 4 vowels, the number of words (not necessarily meaningful) that can be made, each consisting of 3 consonants and 2 vowels, is ______.
