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A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has (i) no girl?
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A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has (ii) at least one boy and one girl?
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A group consists of 4 girls and 7 boys. In how many ways can a team of 5 members be selected if the team has(iii) at least 3 girls?
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A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done? How many of these committees would consist of 1 man and 2 women?
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Find the number of (i) diagonals
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Find the number of (ii) triangles
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Determine the number of 5 cards combinations out of a deck of 52 cards if at least one of the 5 cards has to be a king?
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We wish to select 6 persons from 8, but if the person A is chosen, then B must be chosen. In how many ways can the selection be made?
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In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?
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Find the number of ways of selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls if each selection consists of 3 balls of each colour.
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Determine the number of 5 cards combinations out of a deck of 52 cards if there is exactly one ace in each combination.
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In how many ways can one select a cricket team of eleven from 17 players in which only 5 persons can bowl if each cricket team of 11 must include exactly 4 bowlers?
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A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected.
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In how many ways can a student choose a programme of 5 courses if 9 courses are available and 2 specific courses are compulsory for every student?
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A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: exactly 3 girls?
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A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: at least 3 girls?
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A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: atmost 3 girls?
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In an examination, a question paper consists of 12 questions divided into two parts i.e., Part I and Part II, containing 5 and 7 questions, respectively. A student is required to attempt 8 questions in all, selecting at least 3 from each part. In how many ways can a student select the questions?
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A parallelogram is cut by two sets of m lines parallel to its sides. Find the number of parallelograms thus formed.
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Out of 18 points in a plane, no three are in the same straight line except five points which are collinear. How many (i) straight lines
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