The number of arrangements of 10 different things taken 4 at a time in which one particular thing always occurs is
  • a)
    2015
  • b)
    2016
  • c)
    2014
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?

CA Foundation Question

3 Answers
Manoj Yadav answered Aug 25, 2018
Here, if 1 thing always occur then we will fix that place. Now 3 places are remaining and 9 things are remaining.

For, rest 3 places total selections of things are (93)(93)and total arrangements of 4 things is 4!4!..

Answer = (9/3)∗4!=84∗24=2016(9/3)∗4!=84∗24=2016

Vbr Reddy answered Aug 16, 2018
Always included. formula r*(n-1)P r-1 n=10 r=4 4*(10-1)P 4-1 4*504= 2016

Shubham Goyal answered Aug 28, 2019
Answer is 9p4 * 4

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