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Write the number of diagonals of an n-sided polygon.
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Write the expression nCr +1 + nCr − 1 + 2 × nCr in the simplest form.
Concept: undefined >> undefined
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Write the value of\[\sum^6_{r = 1} \ ^{56 - r}{}{C}_3 + \ ^ {50}{}{C}_4\]
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Write the maximum number of points of intersection of 8 straight lines in a plane.
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Write the number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines.
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Write the number of ways in which 5 red and 4 white balls can be drawn from a bag containing 10 red and 8 white balls.
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Write the number of ways in which 12 boys may be divided into three groups of 4 boys each.
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Write the total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants.
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Find the mean, mode, S.D. and coefficient of skewness for the following data:
| Year render: | 10 | 20 | 30 | 40 | 50 | 60 |
| No. of persons (cumulative): | 15 | 32 | 51 | 78 | 97 | 109 |
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Calculate coefficient of variation from the following data:
| Income (in Rs): | 1000-1700 | 1700-2400 | 2400-3100 | 3100-3800 | 3800-4500 | 4500-5200 |
| No. of families: | 12 | 18 | 20 | 25 | 35 | 10 |
Concept: undefined >> undefined
An analysis of the weekly wages paid to workers in two firms A and B, belonging to the same industry gives the following results:
| Firm A | Firm B | |
| No. of wage earners | 586 | 648 |
| Average weekly wages | Rs 52.5 | Rs. 47.5 |
| Variance of the |
100 |
121 |
| distribution of wages |
(i) Which firm A or B pays out larger amount as weekly wages?
(ii) Which firm A or B has greater variability in individual wages?
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The following are some particulars of the distribution of weights of boys and girls in a class:
| Number | Boys | Girls |
| 100 | 50 | |
| Mean weight | 60 kg | 45 kg |
| Variance | 9 | 4 |
Which of the distributions is more variable?
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A dice is thrown. Find the probability of getting a prime number
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A dice is thrown. Find the probability of getting:
2 or 4
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A dice is thrown. Find the probability of getting a multiple of 2 or 3.
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In a simultaneous throw of a pair of dice, find the probability of getting:
8 as the sum
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In a simultaneous throw of a pair of dice, find the probability of getting a doublet
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In a simultaneous throw of a pair of dice, find the probability of getting a doublet of prime numbers
Concept: undefined >> undefined
In a simultaneous throw of a pair of dice, find the probability of getting a doublet of odd numbers
Concept: undefined >> undefined
In a simultaneous throw of a pair of dice, find the probability of getting a sum greater than 9
Concept: undefined >> undefined
