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Express each of the following products i...

Express each of the following products in factorials:
`(i) 5 xx6xx7xx8xx9 " "(ii)2xx4xx6xx8xx10 `

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We have
`(i) 5 xx6xx7xx8xx9 =((1xx2xx3xx4)xx(5xx6xx7xx8xx9))/((1xx2xx3xx4)) `
[Multiplying and dividing the given product by `(1xx2xx3xx4)`]
` = (1xx2xx3xx4xx5xx6xx7xx8xx9)/(1xx2xx3xx4)=(9!)/(4!). `
` (ii) 2xx4xx6xx8xx10 = (2xx1)xx(2xx2)xx(2xx3)xx(2xx4)xx(2xx5) `
` =2^(5)xx(1xx2xx3xx4xx5)=2^(5)xx(5!).`
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RS AGGARWAL-PERMUTATIONS-EXERCISE 8H (Very-Short-Answer Questions)
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  3. If (1)/(4!) + (1)/(5!)=(x)/(6!), find the value of x.

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  4. How many 3-digit numbers are there with no digit repeated?

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  9. How many different words can be formed by using all the letters of the...

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  10. How many permutations of the letters of the word 'APPLE' are there?

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  11. How many words can be formed by the letters of the word 'SUNDAY'?

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  12. In how many ways can 4 letters be posted in 5 letter boxes?

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  14. How many 5-digit numbers can be formed by using the digits 0, 1 and 2?

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