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CBSE Class 11-science Answered

How many 6 digit numbers can be formed with the digits 1,2,3,4,5,6,7 if the 10th and unit's places are always even and repetition is not allowed.
Asked by Rohit.koshta01 | 04 Mar, 2018, 12:24: PM
answered-by-expert Expert Answer
begin mathsize 16px style According space to space the space question space last space two space digits space should space be space even.
That space number space can space be space 24 comma 42 comma 46 comma 64 comma 26 comma 62.
First space number space can space be space chosen space as space 3 space ways space and space second space number space can space be space chosen space as space 2 space ways.
stack stack bottom enclose blank end enclose space bottom enclose blank end enclose space bottom enclose blank end enclose space bottom enclose blank end enclose with underbrace below with straight P presuperscript 5 subscript 4 below space stack stack bottom enclose blank end enclose space bottom enclose blank end enclose with underbrace below with 3 cross times 2 below
Remaining space 4 space numbers space can space be space arrange space in space 3 space ways.
Total space number space of space ways equals straight P presuperscript 5 subscript 4 space cross times 6 cross times 3
equals 120 cross times 18
equals 2160 end style
Answered by Sneha shidid | 05 Mar, 2018, 10:13: AM

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