Number of ways in which 4 students can sit in 7 chair in a row, if there is no empty chair between any two students, is

Question

Number of ways in which 4 students can sit in 7 chair in a row, if there is no empty chair between any two students, is (A) 24 (B) 28 (C) 72 (D) 96

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/6a0495b8856750359daa219e420c2427-.png" /> All four must sit consecutive i.e., in 4 ways Hence total = 4 · 4! = 96.

Q. Number of ways in which 4 students can sit in 7 chair in a row, if there is no empty chair between any two students, is

24

28

72

96

All four must sit consecutive i.e., in 4 ways
Hence total $= 4 \cdot 4! = 96.$

Q. Number of ways in which 4 students can sit in 7 chair in a row, if there is no empty chair between any two students, is

24

28

72

96

All four must sit consecutive i.e., in 4 ways Hence total =4⋅4!=96.

All four must sit consecutive i.e., in 4 ways
Hence total $= 4 \cdot 4! = 96.$