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.
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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