Answer :

Final answer:

The number of permutations of the set {a, b, c, d, e, f, g} that end with 'ab' is 720. This is calculated by treating 'ab' as one entity, leaving 5 others to permute and making the total number of entities 6. Then, using the permutation formula of n!, we calculate 6!.

Explanation:

The question is asking for the number of permutations of the set {a, b, c, d, e, f, g} that end with 'ab'. In this case, think of 'ab' as one entity. So, now we are left with 5 entities to permute: {c, d, e, f, g, 'ab'}. The number of ways to permute 'n' distinct objects is given by the formula n!. Therefore, to find out how many ways these 6 entities can be arranged, we calculate 6!. This results in 720 different permutations.

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