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Home / Doubts and Solutions/JEE/Mathematics

: How many numbers can be formed with the digits 1, 2, 3, 4, 3, 2, 1 so that the odd digits always occupy the odd places?:  
 

Asked by puneetgarg2555 21st June 2018, 6:59 AM
Answered by Expert
Answer:
begin mathsize 16px style There space are space four space odd space digits space 1 comma space 1 comma space 3 comma space 3 space out space of space given space seven space digits. Also space there space are space four space odd space places space colon space 1 st comma space 3 rd space comma space 5 th space and space 7 th For space odd space places space can space be space filled space with space four space odd space digitd space in space fraction numerator 4 factorial over denominator 2 factorial 2 factorial end fraction space equals space fraction numerator 4 space cross times space 3 space cross times 2 over denominator 2 space cross times space 2 end fraction space equals space 6 space ways end style
Answered by Expert 21st June 2018, 1:06 PM
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