Advertisements
Advertisements
Question
A test consists of 10 multiple choice questions. In how many ways can the test be answered if the first four questions have three choices and the remaining have five choices?
Solution
The first four questions have 3 choices.
So they can be answered in 34 ways.
The remaining 6 questions have 5 choices.
So they can be answered in 56 ways.
So all 10 questions can be answered in 34 × 56 ways.
APPEARS IN
RELATED QUESTIONS
Evaluate `(n!)/((n-r)!)`, when n = 9, r = 5
Find x in each of the following:
Find x in each of the following:
How many natural numbers not exceeding 4321 can be formed with the digits 1, 2, 3 and 4, if the digits can repeat?
In how many ways can 5 different balls be distributed among three boxes?
In how many ways can 4 prizes be distributed among 5 students, when
(i) no student gets more than one prize?
(ii) a student may get any number of prizes?
(iii) no student gets all the prizes?
Evaluate each of the following:
8P3
Evaluate each of the following:
Write the number of all possible words that can be formed using the letters of the word 'MATHEMATICS'.
Write the remainder obtained when 1! + 2! + 3! + ... + 200! is divided by 14 ?
The number of ways in which the letters of the word ARTICLE can be arranged so that even places are always occupied by consonants is
Evaluate the following.
`(3! + 1!)/(2^2!)`
Suppose 8 people enter an event in a swimming meet. In how many ways could the gold, silver and bronze prizes be awarded?
A test consists of 10 multiple choice questions. In how many ways can the test be answered if question number n has n + 1 choices?
How many strings can be formed from the letters of the word ARTICLE, so that vowels occupy the even places?
Find the distinct permutations of the letters of the word MISSISSIPPI?
Each of the digits 1, 1, 2, 3, 3 and 4 is written on a separate card. The six cards are then laid out in a row to form a 6-digit number. How many of these 6-digit numbers are divisible by 4?
If all permutations of the letters of the word AGAIN are arranged in the order as in a dictionary. What is the 49th word?
The number of words which can be formed out of the letters of the word ARTICLE, so that vowels occupy the even place is ______.
