Advertisements
Advertisements
प्रश्न
Find the number of ways of selecting a team of 3 boys and 2 girls from 6 boys and 4 girls
उत्तर
There are 6 boys and 4 girls.
∴ the number of ways in which 3 boys and 2 girls can be selected
= 6C3 × 4C2
= `(6!)/(3!3!) xx (4!)/(2!2!)`
= `(6 xx 5 xx 4)/(3 xx 2 xx 1) xx (4 xx 3)/(2 xx 1)`
= 20 × 6
= 120.
APPEARS IN
संबंधित प्रश्न
Find the value of `""^15"C"_4 + ""^15"C"_5`
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 = 12
Find the number of triangles formed by joining 12 points if no three points are collinear,
Find the number of triangles formed by joining 12 points if four points are collinear.
Find n if `""^"n""C"_8 = ""^"n""C"_12`
Find n, if `""^23"C"_(3"n") = ""^23"C"_(2"n" + 3)`
Find n, if `""^21"C"_(6"n") = ""^21"C"_(("n"^2 + 5)`
Find r if `""^11"C"_4 + ""^11"C"_5 + ""^12"C"_6 + ""^13"C"_7 = ""^14"C"_"r"`
find the value of `sum_("r" = 1)^4 ""^(21 - "r")"C"_4 + ""^17"C"_5`
A group consists of 9 men and 6 women. A team of 6 is to be selected. How many of possible selections will have at least 3 women?
Five students are selected from 11. How many ways can these students be selected if two specified students are selected?
Find n if nCn–3 = 84
Find r if 14C2r : 10C2r–4 = 143 : 10
Find n and r if nPr = 720 and nCn–r = 120
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 diagonals of an n-sided polygon. In particular, find the number of diagonals when n = 8
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 23C3n = 23C2n+3
Find n if 21C6n = `""^21"C"_(("n"^2 + 5))`
Find n if nCn–2 = 15
Find the differences between the greatest values in the following:
15Cr and 11Cr
Five students are selected from 11. How many ways can these students be selected if two specified students are not selected?
Select the correct answer from the given alternatives.
A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, In how many ways can he choose the questions?
Select the correct answer from the given alternatives.
The number of ways in which 5 male and 2 female members of a committee can be seated around a round table so that the two females are not seated together is
Answer the following:
There are 4 doctors and 8 lawyers in a panel. Find the number of ways for selecting a team of 6 if at least one doctor must be in the team
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 ______.
In how many ways can a group of 5 boys and 6 girls be formed out of 10 boys and 11 girls?
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 ______.
What is the probability of getting a “FULL HOUSE” in five cards drawn in a poker game from a standard pack of 52-cards?
[A FULL HOUSE consists of 3 cards of the same kind (eg, 3 Kings) and 2 cards of another kind (eg, 2 Aces)]
