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We have 1,2,3,4,5,6,7,8,a,b,c,d,e,f the numbers and letters are in order. How many permutations (arrangements) are there...

We have 1,2,3,4,5,6,7,8,a,b,c,d,e,f

the numbers and letters are in order. How many permutations (arrangements) are there in a way that the order is maintained for numbers and the order is maintained for letters? Explain.

Math   Statistics-And-Probability   
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Answer #1

Number of permutations possible in a way that the order is maintained for numbers and the order is maintained for letters = = 3003

Order for numbers is maintained means the numbers can be arranged in ascending order only i e. 1,a,2,3,4,b,5,6,7,c,8

Order for letter is maintained means the letters can be arranged only such that the alphabets (from a-z) always occurs first

We have 8 + 6 = 14 characters

These 14 characters needs to be placed in 14 spots

We select any of the 8 spots out of these 14 and place the numbers 1-8 in the ascending order of the spots.

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