Quantitative Reasoning

Permutation & Combination

Medium

How many three digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digit is repeated?

✅ Correct Option: 3

For divisibility by 5 the units digit must be 5, which can be filled in exactly 1 way. The hundreds place can then take any of the remaining 5 digits and the tens place any of the remaining 4.

Total $= 5 \times 4 \times 1 = 20$ .

2026: 14 May Shift 1

How many words with or without meaning can be formed by using all the letters of the word 'NCFSE' using each letter exactly once?

2026: 22 May Shift 2

In how many different ways can the letters of the word PRESENT be arranged?

2026: 24 May Shift 1

In how many ways can a team of 11 cricket players be chosen from 14 players?

2026: 19 May Shift 2

A committee of 5 members is to be formed by selecting out of 6 men and 4 women. In how many different ways the committee can be formed if it should have at least 2 women?

2026: 14 May Shift 2

Match the LIST-I with LIST-II

Choose the correct answer from the options given below:

2025: 27 May Shift 2

In how many different ways can the letters of the word GOODNESS be arranged?

How many three digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digit is repeated?

Solution

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