The total number of different combinations of | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The word $MISSISSIPPI$ contains the following letters:$M: 1, I: 4, S: 4, P: 2$.To form a combination of one or more letters,we can choose any numb

Vedclass · Accepted Answer

$149$

Vedclass · Answer

(C) The word $MISSISSIPPI$ contains the following letters:$M: 1, I: 4, S: 4, P: 2$.To form a combination of one or more letters,we can choose any number of $M$s (from $0$ to $1$),$I$s (from $0$ to $4$),$S$s (from $0$ to $4$),and $P$s (from $0$ to $2$).The total number of ways to select these letters is $(1+1)(4+1)(4+1)(2+1) = 2 	imes 5 	imes 5 	imes 3 = 150$.Since the question asks for combinations of one or more letters,we must exclude the case where no letters are selected (i.e.,the case where we choose $0$ of each letter).Therefore,the total number of combinations is $150 - 1 = 149$.

The total number of different combinations of one or more letters which can be made from the letters of the word $MISSISSIPPI$ is

Similar Questions

If ${ }^9 C_3+{ }^9 C_5={ }^{10} C_r$ for some $r \in N$,then $r=$

$A$ student is asked to answer $10$ out of $13$ questions in an examination such that he must answer at least four questions from the first five questions. The number of choices available to him is

If the total number of $m$-element subsets of the set $A = \{a_{1}, a_{2}, \ldots, a_{n}\}$ is $k$ times the number of $m$-element subsets containing $a_{4}$, then $n$ is

In how many ways can Rs. $16$ be divided among $4$ persons if none of them gets less than Rs. $3$?

$A$ die is rolled three times. Find the probability of getting a larger number than the previous number each time.

Vedclass Test Series

Exam Paper Generator

Online Exam Module