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Which of the following are true: \ (2xx3...

Which of the following are true: `\ (2xx3)!=2!xx3!`

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L.H.S
`(2 xx 3)! = 6! =720`
R.H.S
`2! xx 3! = (2 xx 1) xx (3 xx 2 × 1)`
=` 12 `
...
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RD SHARMA-PERMUTATIONS-Solved Examples And Exercises
  1. Convert the following products into factorial: 1. 3. 5. 7. 9 (2n-1)

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  2. Which of the following are true: (2+3)!=2!+3!

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  3. Which of the following are true: \ (2xx3)!=2!xx3!

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  4. Prove that: n !(n+2)=n !+(n+1)!

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  5. if(n+2)! =60[(n-1)!],find n

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  6. If (n+1)! =90[(n-1)!], fin d n

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  7. If (n+3)! =56[(n+1)! fin n

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  8. Prove that ((2n)!)/(n !)=2^n{1. 3. 5 (2n-1)}

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