Find out the number of ways in which a cricket team consisting of 11 players can be selected from 14 players. Also find out how many of these
(i) will include captain;
(ii) will not include captain.
Solution
Combination: Problem 7
Problems: Permutations and Combinations
Combination: Problem 11
A council consists of 10 members, 6 belonging to the party A and 4 to the party B. In how many ways ...
Combination: Problem 10
The staff of a bank consists of the manager, the deputy manager and 10 other officers. A committee o...
Combination: Problem 9
From 7 gentlemen and 4 ladies a committee of 5 is to be formed in how many ways can this be done so ...
Combination: Problem 8
Out of 5 males and 6 females, a committee of 5 is to be formed. Find the number of ways in which it ...
Combination: Problem 7
Find out the number of ways in which a cricket team consisting of 11 players can be selected from 14...
Combination: Problem 6
In how many ways can 21 white balls and 19 black balls be arranged in a row so that no two black bal...
Combination: Problem 5
There are 10 professors and 20 students out of whom a committee of 2 professors and 3 students is to...
Combination: Problem 3
A cricket team is to be formed consisting of 2 wicket keepers, 4 bowlers and 5 batsmen form a group ...
Problem 28: Permutation
There are six students of whom 2 are Indians, 2 Americans and the remaining 2 are Russians. They hav...
Problem 27: Permutation
If all the permutations of the letters of the word CHALK be written down as in a dictionary, what is...
Problem 27: Permutation
A family consisting of an old man, 6 adults and 4 children, is to be seated in a row for dinner. The...
Problem 18: Permutation
(a) In how many ways can 8 different beads be strung on a necklace? (b) In how many ways can 8 boys ...
Problem 29: Permutation
How many different words can be formed with the letters of HARYANA? In how many of theseH and N are ...
Problem 21: Permutation
Find the number of all possible different words into which the word ‘INTERFERENCE’ can be converted ...
How many numbers greater than a million can be formed with the digits, 1, 7, 1, 0, 7, 3, 7?
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Problem 19: Permutation
A library has 5 copies of one book, 4 copies of each of two books, 6 copies of each of three books, ...
Problem 14: Permutation
The figures 1, 2, 3, 4, 5 are written in every possible order. How many of the numbers so formed wil...
Problem 10: Permutation
How many numbers between 3000 and 4000 can be formed with the digits 1, 2, 3, 4, 5, 6?
Problem 13: Permutation
How many numbers between 1000 and 10,000 can be formed with the digits 1, 2, 3, 4, 5, 6, 7, 8, 9? Ho...
Problem 17: Permutation
In how many ways can be letters of the word VIOLENT be arranged so that the vowels I, O, E, occupy e...
Problem 20: Permutation
Find the number of permutations of the letters of the word “SIGNAL’ such that the vowels may occupy ...
Problem 12: Permutation
Six papers are set in an examination of which two are mathematical. In how many different orders can...
Problem 16: Permutation
In how many ways can 3 books on Commercial Mathematics and 5 books on Secretarial Practice be placed...
Problem 15: Permutation
Find the number of ways in which n books can be arranged on a shelf so that two particular books are...
Problem 9: Permutation
In how many ways 10 examination papers be arranged so that the best and worst papers never come toge...
Problem 2: Permutation
In how many ways can a consonant and a vowel be chosen out of the letters of each of the words (i) L...
Problem 8: Permutation
Find how many words can be formed of the letters of the word "FAILURE". The four vowels always comin...
Problem 1: Permutation
How many different arrangements can be made by using all the letters of the word (i) MONDAY; (ii) OR...
Problem 6: Permutation
How many different words can be formed with the letters of the word SUNDAY? How many of the words be...
Problem 5: Permutation
How many different numbers of six digits can be formed with the digits 3, 1, 7, 0, 9, 5? How many of...
Problem 4: Permutation
There are 50 stations on a railways line. How many different kinds of single first class tickets mus...
Problem 3: Permutation
There are 8 vacant chairs in a room. In how many ways can 5 persons take their seats?
Problem 7: Permutation
There are four routes for going from A to B and five routes for going from B to C. In how many diffe...
Minhajur Rahaman
