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A six-digit number is formed from the digits one through seven. No digit appears more than...

A six-digit number is formed from the digits one through seven. No digit appears more than once in each number. Find the probability that the number will be:
a. Even
b. Odd
c. Prime
d. Composite
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Answer #1

Here we will use permutations  7 digits are given 6 digits mumber is to be formed in ways = 71 (7-2)1-5040 The mumber w be even f enat the units place 2, 4, 6 Unit Place is fixed and other Ave digits xe and other digjts lace Is can be aTTonged in G Ps was з. є Prob. of even mumber - 5o40 21GO - o 42&5 The number wil be odd if at unit place 13,S) -. It can be arranged in G Ps U0a4s X 6 TETT =2380 2880

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