Five balls `b_(1),b_(2),b_(3),b_(4),b_(5)` are kept at random in five foxes `B_(1),B_(2),B_(3),B_(4),B_(5)`, one in each box. Let P(r ) be the probabi

Question

Five balls `b_(1),b_(2),b_(3),b_(4),b_(5)` are kept at random in five foxes `B_(1),B_(2),B_(3),B_(4),B_(5)`, one in each box. Let P(r ) be the probabi

Five balls `b_(1),b_(2),b_(3),b_(4),b_(5)` are kept at random in five foxes `B_(1),B_(2),B_(3),B_(4),B_(5)`, one in each box. Let P(r ) be the probability of r balls going to corresponding numbered boxes.
`{:(,"Column-I",,"Column-II"),((A),P(0)=,,(P)(1)/(12)),((B),P(1)=,,(Q)(3)/(8)),((C),P(2)=,,(R)(1)/(3)),((D),P(3)=,,(S)(11)/(30)),(,,,(T)(1)/(6)):}`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A-S; B-Q ; C-T, D-P
`P(r )=(.^(n)C_(r)("all possible dearrangements of n-r elements"))/(n!)`
Dearrangement of n elements is `n!((1)/(2!)-(1)/(3!)+(1)/(4!)+.......+(-1)^(n)(1)/(n!))`

4 views Answered 2023-02-05 15:29