मराठी

Find the number of ways of dividing 20 objects in three groups of sizes 8, 7, and 5.

Advertisements
Advertisements

प्रश्न

Find the number of ways of dividing 20 objects in three groups of sizes 8, 7, and 5.

बेरीज
Advertisements

उत्तर

Select 8 object out of 20 in 20C8 ways
Select 7 object from the remaining 12 in 12C7 ways and 5 objects form the remaining 5 in 5C5 ways
Required number is = 20C8 × 12C7 × 5C5

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Permutations and Combinations - Miscellaneous Exercise 6 [पृष्ठ ९३]

APPEARS IN

बालभारती Mathematics and Statistics (Commerce) Part 2 [English] Standard 11 Maharashtra State Board
पाठ 6 Permutations and Combinations
Miscellaneous Exercise 6 | Q 18 | पृष्ठ ९३

संबंधित प्रश्‍न

In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?


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.


How many 6-digit numbers can be formed from the digits 0, 1, 3, 5, 7 and 9 which are divisible by 10 and no digit is repeated?


How many different five-digit number licence plates can be made if

first digit cannot be zero and the repetition of digits is not allowed,


How many different numbers of six digits each can be formed from the digits 4, 5, 6, 7, 8, 9 when repetition of digits is not allowed?


From a group of 15 cricket players, a team of 11 players is to be chosen. In how many ways can this be done?


In how many ways can a student choose 5 courses out of 9 courses if 2 courses are compulsory for every student?


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?


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? 


Find the number of (i) diagonals


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?


Write \[\sum^m_{r = 0} \ ^{n + r}{}{C}_r\] in the simplified form.


A student finds 7 books of his interest, but can borrow only three books. He wants to borrow Chemistry part II book only if Chemistry Part I can also be borrowed. Find the number of ways he can choose three books that he wants to borrow.


A bag contains six white marbles and five red marbles. Find the number of ways in which four marbles can be drawn from the bag if they must all be of the same colour.


Everybody in a room shakes hands with everybody else. The total number of handshakes is 66. The total number of persons in the room is ______.


The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is ______.


The number of ways in which a team of eleven players can be selected from 22 players always including 2 of them and excluding 4 of them is ______.


A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed is ______.


All possible numbers are formed using the digits 1, 1, 2, 2, 2, 2, 3, 4, 4 taken all at a time. The number of such numbers in which the odd digits occupy even places is ______.


There are (n + 1) white and (n + 1) black balls each set numbered 1 to (n + 1). The number of ways in which the balls can be arranged in row so that the adjacent balls are of different colours is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×