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
Evaluate `(n!)/((n-r)!)` when n = 6, r = 2
In how many of the distinct permutations of the letters in MISSISSIPPI do the four I’s not come together?
In how many ways can the letters of the word PERMUTATIONS be arranged if the words start with P and end with S.
Which of the following are true:
(2 × 3)! = 2! × 3!
Find the number of ways in which 8 distinct toys can be distributed among 5 childrens.
Evaluate each of the following:
P(6, 4)
In how many ways can 4 letters be posted in 5 letter boxes?
The number of arrangements of the letters of the word BHARAT taking 3 at a time is
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 `("n"!)/("r"!("n" - "r")!)` when n = 5 and r = 2.
In how many ways 5 boys and 3 girls can be seated in a row, so that no two girls are together?
If n is a positive integer, then the number of terms in the expansion of (x + a)n is:
Three men have 4 coats, 5 waist coats and 6 caps. In how many ways can they wear them?
A student appears in an objective test which contain 5 multiple choice questions. Each question has four choices out of which one correct answer.
How will the answer change if each question may have more than one correct answers?
In how many ways 4 mathematics books, 3 physics books, 2 chemistry books and 1 biology book can be arranged on a shelf so that all books of the same subjects are together
Choose the correct alternative:
If Pr stands for rPr then the sum of the series 1 + P1 + 2P2 + 3P3 + · · · + nPn is
The number of permutations of n different objects, taken r at a line, when repetitions are allowed, is ______.
If 1P1 + 2. 2p2 + 3. 3p3 + ....... 15. 15P15 = qPr – s, 0 ≤ s ≤ 1, then q+sCr–s is equal to ______.
