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?
Advertisements
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
Find n if n – 1P3 : nP4 = 1 : 9
Find r if `""^5P_r = 2^6 P_(r-1)`
Find x in each of the following:
Find the number of ways in which one can post 5 letters in 7 letter boxes ?
Find the total number of ways in which 20 balls can be put into 5 boxes so that first box contains just one ball ?
The number of permutations of n different things taking r at a time when 3 particular things are to be included is
The number of arrangements of the word "DELHI" in which E precedes I is
The number of ways in which the letters of the word 'CONSTANT' can be arranged without changing the relative positions of the vowels and consonants is
The number of ways in which 6 men can be arranged in a row so that three particular men are consecutive, is
The number of words that can be made by re-arranging the letters of the word APURBA so that vowels and consonants are alternate is
Find x if `1/(6!) + 1/(7!) = x/(8!)`
How many numbers lesser than 1000 can be formed using the digits 5, 6, 7, 8, and 9 if no digit is repeated?
The possible outcomes when a coin is tossed five times:
The number of ways to arrange the letters of the word “CHEESE”:
The number of words with or without meaning that can be formed using letters of the word “EQUATION”, with no repetition of letters is:
A student appears in an objective test which contain 5 multiple choice questions. Each question has four choices out of which one correct answer.
What is the maximum number of different answers can the students give?
Find the number of strings that can be made using all letters of the word THING. If these words are written as in a dictionary, what will be the 85th string?
In how many ways can 5 children be arranged in a line such that two particular children of them are always together
The number of signals that can be sent by 6 flags of different colours taking one or more at a time is ______.
Ten different letters of an alphabet are given. Words with five letters are formed from these given letters. Determine the number of words which have at least one letter repeated.
