Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • In how many ways can seven erasers, each of a different colour, be kept among four distinct pencil boxes such that no pencil box remains empty?Option: 1

In how many ways can seven erasers, each of a different colour, be kept among four distinct pencil boxes such that no pencil box remains empty?

Option: 1

8404


Option: 2

 8904


Option: 3

 8504


Option: 4

8604


Answers (1)

best_answer

Given that,

\mathrm{=4^{7}-\left(\begin{array}{l}4 \\ 1\end{array}\right)(4-1)^{7}+\left(\begin{array}{l}4 \\ 2\end{array}\right)(4-2)^{7}-\left(\begin{array}{l}4 \\ 3\end{array}\right)(4-3)^{7}}

\mathrm{=16384-(4 \times 2187)+(6 \times 128)-4}

\mathrm{=16384-8748+768}

\mathrm{=8404}

Posted by

Ajit Kumar Dubey

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

BTech Admission 2025 Live: JEE Main correction window closes at 11:50 pm; VITEEE, SRMJEE, AEEE dates out
anam-khan

JEE Main 2025 application form correction begins at jeemain.nta.nic.in; editable fields
anam-khan

JEE Main 2025 application form correction window opens today; apply at jeemain.nta.nic.in

Latest Question