An examination paper consists of 12 questions divided into parts A and B Part A contains 7 questions and part B contains 5 questions. A candidate is required to attempt 8 questions selecting at least 3 from each part. In how many maximum ways can the candidate select the question?
Code word is to consist of two English alphabets followed by two distinct numbers between 1 and 9. How many such code words are there?
A boy has 3 library tickets and 8 books of his interest in the library of these 8, he does not want to borrow Mathematics part β II unless Mathematics part β I is also borrowed? In how many ways can he choose the three books to be borrowed?
Find 5!, 4! And 6!
Find π! Γ· π! ; ππ! Γ· π!
Find x if π ÷ π! + π ÷ ππ! = π ÷ ππ!
How many arrangements can be made out of the letters of the word βDRAUGHTβ the vowels never beings separated?
An examination paper with 10 questions consists of 6 questions in mathematics and 4 questions in statistic part. At least one question from each part is to be attempted in how many ways can this be done?
A student has three books on computer, three books on Economics and five books on Commerce. If these books are to be arranged subject wise, then these can be placed on a shelf in the number of ways:
A fundamental principle of counting is:
If ππͺπ = ππͺπβπ | and ππ·π andππ·π+π , then the value of n is 27.
π§ππ« ÷ π§ππ« =
If P (n, r)=1680 and C (n,r) = 70, then 69n+r! =
Number of divisors of n = 38808 9eexcept 1 and n) is
The exponent of 3 in 100! Is
A dictionary is printed consisting of 7 lettered words only that can be made with a letter of the word CRICKET. If the words are printed at the alphabetical order, as in an ordinary dictionary, then the number of word before the word CRICKET is
The number of positive integral solutions of abc = 30 is
The value of N in = π ÷ π! + π ÷ π! + π΅ ÷ π! πs
If ππ·π =720, ππ·π = 120, then r is
If πππͺπ = πππͺππ−π and x≠4 then the value of ππͺπ =
Which of the following is not a correct statement?
In how many ways can 4 people be selected at random from 6 boys and 4 girls if there are exactly 2 girls?
np3 : np2 = 2: 1
If Np4 = 20 Np2 = where P denotes the number of permutations n =___________
From a group of 8 men and 4 women, 4 persons are to be selected to form a committee so that at least 2 women are there on the committee. In how many ways can it be done?
Eight chairs are numbered from 1 to 8. Two women and three men are to be seated by allowing one chair for each. First, the women choose the chairs from the chairs numbered 1 to 4 and then men select the chairs from the remaining. The number of possible arrangements is:
There are ten fights operating between city A and city B. The number of ways in which a person can travel from city A to city B and return by different fight, is
How many odd numbers of four digits can be formed with digits 0, 1, 2, 3, 4, 7 and 8?
A business house wishes to simultaneously elevate two of its six branch heads. In how many ways these elevations can take place?
How many number of seven digit numbers which can be formed for the digits 3,4,5,6,7,8,9 no digits being repeated are not divisible by 5?