Please select a subject first
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There are 10 professors and 20 students out of whom a committee of 2 professors and 3 students is to be formed. Find the number of ways in which this can be done. Further find in how many of these committees:
a particular student is excluded.
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How many different products can be obtained by multiplying two or more of the numbers 3, 5, 7, 11 (without repetition)?
Concept: undefined >> undefined
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From a class of 12 boys and 10 girls, 10 students are to be chosen for a competition; at least including 4 boys and 4 girls. The 2 girls who won the prizes last year should be included. In how many ways can the selection be made?
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How many different selections of 4 books can be made from 10 different books, if
there is no restriction;
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How many different selections of 4 books can be made from 10 different books, if
two particular books are always selected;
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How many different selections of 4 books can be made from 10 different books, if two particular books are never selected?
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From 4 officers and 8 jawans in how many ways can 6 be chosen (i) to include exactly one officer
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From 4 officers and 8 jawans in how many ways can 6 be chosen. to include at least one officer?
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A sports team of 11 students is to be constituted, choosing at least 5 from class XI and at least 5 from class XII. If there are 20 students in each of these classes, in how many ways can the teams be constituted?
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A student has to answer 10 questions, choosing at least 4 from each of part A and part B. If there are 6 questions in part A and 7 in part B, in how many ways can the student choose 10 questions?
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In an examination, a student has to answer 4 questions out of 5 questions; questions 1 and 2 are however compulsory. Determine the number of ways in which the student can make the choice.
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A candidate is required to answer 7 questions out of 12 questions which are divided into two groups, each containing 6 questions. He is not permitted to attempt more than 5 questions from either group. In how many ways can he choose the 7 questions?
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There are 10 points in a plane of which 4 are collinear. How many different straight lines can be drawn by joining these points.
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Find the number of diagonals of , 1.a hexagon
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Find the number of diagonals of (ii) a polygon of 16 sides.
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How many triangles can be obtained by joining 12 points, five of which are collinear?
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In how many ways can a committee of 5 persons be formed out of 6 men and 4 women when at least one woman has to be necessarily selected?
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In a village, there are 87 families of which 52 families have at most 2 children. In a rural development programme, 20 families are to be helped chosen for assistance, of which at least 18 families must have at most 2 children. In how many ways can the choice be made?
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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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