Awesome q2a theme
0 votes
24 views
Every day a student randomly chooses a sandwich for lunch from a pile of wrapped sandwiches. If there are six kinds of sandwiches how many diff ways are there for the student to choose sandwiches for the 7 days of a week if the order in which sandwiches are chosen matters
in Combinatory by (5 points) | 24 views
0
$6^{7} ?$

1 Answer

+3 votes
On the first day, the student can choose any $1$ of the available $6$ kinds of sandwiches, so total number of ways to choose a sandwich on first day will be $^6C_1=6$. Similarly, the student will have $6$ choices on each of the next $6$ days, hence total number of ways to choose sandwiches for the $7$ days of week will be:

$6*6*6*6*6*6*6$

$=6^7$

$=279936$
by (855 points)
0
This was so simple and I thought it's so complex
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
Welcome to GATE CSE Doubts, where you can ask questions and receive answers from other members of the community.
8,437 questions
2,714 answers
13,238 comments
95,460 users