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Compute: (i) (10!)/((7!)xx(3!))" " ...

Compute:
`(i) (10!)/((7!)xx(3!))" " (ii) (30!)/(28!)" " (iii) (11!-10!)/(9!)`

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We have
`(i) (10!)/((7!)xx(3!)) =(10xx9xx 8xx (7!))/((7!)xx(3xx2xx1))=(10xx9xx8)/(3xx2xx1)=120. `
` (ii) (30!)/(28!)=(30xx29xx(28!))/((28!))=30xx29=870. `
`(iii) (11!-10!)/(9!)=(11xx 10 xx(9!)-10 xx(9!))/(9!)=((110-10)(9!))/((9!))=100. `
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RS AGGARWAL-PERMUTATIONS-EXERCISE 8H (Very-Short-Answer Questions)
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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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  14. How many 5-digit numbers can be formed by using the digits 0, 1 and 2?

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