11th Std Math Practical
Mathematics and Statistics (Arts and Science)
Answers (Solutions)
Practical No.12
12) Permuations and Combinations
Practical Session No. 12-Permuations and Combinations
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| 11th Math Practical No.12 Permuations and Combinations. Answer Solution | Maharashtra Board HSC Board | Balbharati |
Practical Session No. 12
Permuations and Combinations
1. How many three-digit numbers can be formed using digits 0, 2,3,5,6,8 ,9 with no digit is repeated in each of the following?
a) there are no restrictions b) number must be multiple of 5.
c) the number is greater than 600. d) even number is less than 400.
2. A shipment of 12 cell phones contains three defective units. In how many ways can a buyer purchase four of these units and receive (a) all good units (b) two good units (c) at least two good units.
3. In how many ways can we arrange 3 red flowers, 5 yellow flowers and 7 white flowers in a row? In how many arrangement the yellow flowers are to be separated (flowers of same color are identical ).
4. There are 10 persons among whom two are friends. Find the number of ways in which they can be arranged round a circle (a) if there is exactly one person between the two friends. (b) the two friends are always separated.
5. Diagonals are formed by joining vertices of a polygon count all the diagonals. Consider triangle whose sides are diagonals or sides of the polygon. How many such triangles are there in a (a) Hexagon (b) Octagon (c) Decagon
6. A committee of 4 is chosen from 8 men and 6 women. Determine the number of ways of selecting the committee if (a) there are no restrictions (b) it must contain 2 men and 2 women (c) it must contain all men (d) it must contain at least 3 men (e) it must contain at least one of each gender.
7. A class has 25 students. The class teacher has been asked to make groups of m students each and go to museum taking one group at a time. Find the size of group for which the teacher goes the maximum number of times to the museum.
8. Veer has 8 friends and wants to invite some of them on his birthday party. In how many ways this can be done if
(a) any number of friends can be invited? (b) at least two friends must be invited ?
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